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312323232257 is a prime number
BaseRepresentation
bin1001000101101111110…
…10100101001000000001
31002212011100021002101122
410202313322211020001
520104114221413012
6355251310442025
731364442446231
oct4426772451001
91085140232348
10312323232257
11110501360073
1250644503315
13235b4c3690a
141118ba5dcc1
1581ce4cbe72
hex48b7ea5201

312323232257 has 2 divisors, whose sum is σ = 312323232258. Its totient is φ = 312323232256.

The previous prime is 312323232233. The next prime is 312323232293. The reversal of 312323232257 is 752232323213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 270640293361 + 41682938896 = 520231^2 + 204164^2 .

It is a cyclic number.

It is not a de Polignac number, because 312323232257 - 214 = 312323215873 is a prime.

It is not a weakly prime, because it can be changed into another prime (312323232157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156161616128 + 156161616129.

It is an arithmetic number, because the mean of its divisors is an integer number (156161616129).

Almost surely, 2312323232257 is an apocalyptic number.

It is an amenable number.

312323232257 is a deficient number, since it is larger than the sum of its proper divisors (1).

312323232257 is an equidigital number, since it uses as much as digits as its factorization.

312323232257 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 90720, while the sum is 35.

The spelling of 312323232257 in words is "three hundred twelve billion, three hundred twenty-three million, two hundred thirty-two thousand, two hundred fifty-seven".