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312211333157 is a prime number
BaseRepresentation
bin1001000101100010011…
…11101110000000100101
31002211212112201000200112
410202301033232000211
520103402100130112
6355232232222405
731361613354623
oct4426117560045
91084775630615
10312211333157
11110454181679
1250612b3aa05
13235979b8029
141117ac52513
1581c4776a22
hex48b13ee025

312211333157 has 2 divisors, whose sum is σ = 312211333158. Its totient is φ = 312211333156.

The previous prime is 312211333097. The next prime is 312211333207. The reversal of 312211333157 is 751333112213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 200819600641 + 111391732516 = 448129^2 + 333754^2 .

It is an emirp because it is prime and its reverse (751333112213) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 312211333157 - 210 = 312211332133 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312211333457) 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, 156105666578 + 156105666579.

It is an arithmetic number, because the mean of its divisors is an integer number (156105666579).

Almost surely, 2312211333157 is an apocalyptic number.

It is an amenable number.

312211333157 is a deficient number, since it is larger than the sum of its proper divisors (1).

312211333157 is an equidigital number, since it uses as much as digits as its factorization.

312211333157 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 11340, while the sum is 32.

The spelling of 312211333157 in words is "three hundred twelve billion, two hundred eleven million, three hundred thirty-three thousand, one hundred fifty-seven".