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312201157 is a prime number
BaseRepresentation
bin10010100110111…
…100111111000101
3210202110110110211
4102212330333011
51114410414112
650551315421
710510444312
oct2246747705
9722413424
10312201157
11150258394
128867bb71
134c8b0518
142d66bd09
151c61e0a7
hex129bcfc5

312201157 has 2 divisors, whose sum is σ = 312201158. Its totient is φ = 312201156.

The previous prime is 312201139. The next prime is 312201203. The reversal of 312201157 is 751102213.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 256832676 + 55368481 = 16026^2 + 7441^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-312201157 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312201257) 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, 156100578 + 156100579.

It is an arithmetic number, because the mean of its divisors is an integer number (156100579).

Almost surely, 2312201157 is an apocalyptic number.

It is an amenable number.

312201157 is a deficient number, since it is larger than the sum of its proper divisors (1).

312201157 is an equidigital number, since it uses as much as digits as its factorization.

312201157 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 420, while the sum is 22.

The square root of 312201157 is about 17669.2149514346. The cubic root of 312201157 is about 678.3880192369.

The spelling of 312201157 in words is "three hundred twelve million, two hundred one thousand, one hundred fifty-seven".