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The number 70121

70121 is a twin prime (70121 and 70123 are both prime) and the 6948th prime number. Its only divisors are 1 and 70121.

Number

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How to work it out

  1. 1

    What is special about 70121: a twin prime (70121 and 70123 are both prime); the 6948th prime number.

  2. 2

    70121 is prime, so its only factors are 1 and 70121. It is the 6948th prime; the next prime is 70123 and the one before is 70117.

  3. 3

    The divisors add up to 70122; without 70121 itself that is 1, so 70121 is deficient (1 is less than 70121). Euler's totient φ(70121) = 70120 numbers up to 70121 share no factor with it.

  4. 4

    The digits of 70121 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 68 steps to reach 1.

70121 at a glance

PropertyValue
Typeprime
Number of divisors2
Sum of divisors70122
Euler totient φ(n)70120
Square4916954641
Cube344781776381561
Square root264.803701
Digit sum / digital root11 / 2
Collatz steps to 168
Scientific notation7.0121 × 10410^{4}

70121 in other forms

FormValue
In wordsseventy thousand one hundred and twenty-one
Binary (base 2)10001000111101001
Octal (base 8)210751
Hexadecimal (base 16)111E9
Base 310120012002
As time70121 seconds = 19 h 28 min 41 s

Is 70121 divisible by 2 to 12?

DivisorAnswerRule
2No (remainder 1)A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3No (remainder 2)A number is divisible by 3 if the digits add up to a multiple of 3.
4No (remainder 1)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 1)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 5)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 2)A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7.
8No (remainder 1)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 2)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 1)A number is divisible by 10 if the last digit is 0.
11No (remainder 7)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 5)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 70121 a prime number?

Yes. 70121 is divisible only by 1 and itself.

What are the factors of 70121?

1, 70121.

What is 70121 in binary?

10001000111101001 (hexadecimal 111E9, octal 210751).

What is the square root of 70121?

About 264.8037.

Is 70121 divisible by 3?

No. Its digits add up to 11, which is not a multiple of 3.

What is special about the number 70121?

70121 is a twin prime (70121 and 70123 are both prime); the 6948th prime number.

All about 70121

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    70121: is it prime? Factors, square root, binary, Roman numeral | WordGPT