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312232103357 is a prime number
BaseRepresentation
bin1001000101100100111…
…10111100110110111101
31002211220222210021001012
410202302132330312331
520103422404301412
6355234253325005
731362255042266
oct4426236746675
91084828707035
10312232103357
11110464978629
1250619a96765
132359c0aaba5
141117d8db96d
1581c64cac22
hex48b27bcdbd

312232103357 has 2 divisors, whose sum is σ = 312232103358. Its totient is φ = 312232103356.

The previous prime is 312232103299. The next prime is 312232103363. The reversal of 312232103357 is 753301232213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 223907829721 + 88324273636 = 473189^2 + 297194^2 .

It is a cyclic number.

It is not a de Polignac number, because 312232103357 - 210 = 312232102333 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312232103257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156116051678 + 156116051679.

It is an arithmetic number, because the mean of its divisors is an integer number (156116051679).

Almost surely, 2312232103357 is an apocalyptic number.

It is an amenable number.

312232103357 is a deficient number, since it is larger than the sum of its proper divisors (1).

312232103357 is an equidigital number, since it uses as much as digits as its factorization.

312232103357 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 22680, while the sum is 32.

The spelling of 312232103357 in words is "three hundred twelve billion, two hundred thirty-two million, one hundred three thousand, three hundred fifty-seven".