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3124332334213 is a prime number
BaseRepresentation
bin101101011101110000101…
…110000000110010000101
3102001200110002111021020021
4231131300232000302011
5402142113034143323
610351144244535141
7441503603442346
oct55356056006205
912050402437207
103124332334213
11aa50271736a2
124256246b14b1
1319881444802c
14ab30b7820cd
155640ec1905d
hex2d770b80c85

3124332334213 has 2 divisors, whose sum is σ = 3124332334214. Its totient is φ = 3124332334212.

The previous prime is 3124332334159. The next prime is 3124332334219.

It is a happy number.

3124332334213 is nontrivially palindromic in base 10.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3011810998849 + 112521335364 = 1735457^2 + 335442^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 3124332334213 - 217 = 3124332203141 is a prime.

It is a super-2 number, since 2×31243323342132 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3124332334219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1562166167106 + 1562166167107.

It is an arithmetic number, because the mean of its divisors is an integer number (1562166167107).

Almost surely, 23124332334213 is an apocalyptic number.

It is an amenable number.

3124332334213 is a deficient number, since it is larger than the sum of its proper divisors (1).

3124332334213 is an equidigital number, since it uses as much as digits as its factorization.

3124332334213 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 93312, while the sum is 34.

The spelling of 3124332334213 in words is "three trillion, one hundred twenty-four billion, three hundred thirty-two million, three hundred thirty-four thousand, two hundred thirteen".