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312132631910677 is a prime number
BaseRepresentation
bin100011011111000100000101…
…0101001011101100100010101
31111221011120212210100211222121
41012332020022221131210111
5311402440112232120202
63023503430200255541
7122513560411234654
oct10676101251354425
91457146783324877
10312132631910677
1190500784483946
122b01148aa715b1
1310521c9a032a06
14571142b26b19b
1526144456c8537
hex11be20aa5d915

312132631910677 has 2 divisors, whose sum is σ = 312132631910678. Its totient is φ = 312132631910676.

The previous prime is 312132631910657. The next prime is 312132631910711. The reversal of 312132631910677 is 776019136231213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 262220017717681 + 49912614192996 = 16193209^2 + 7064886^2 .

It is a cyclic number.

It is not a de Polignac number, because 312132631910677 - 27 = 312132631910549 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312132631910657) 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, 156066315955338 + 156066315955339.

It is an arithmetic number, because the mean of its divisors is an integer number (156066315955339).

Almost surely, 2312132631910677 is an apocalyptic number.

It is an amenable number.

312132631910677 is a deficient number, since it is larger than the sum of its proper divisors (1).

312132631910677 is an equidigital number, since it uses as much as digits as its factorization.

312132631910677 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1714608, while the sum is 52.

The spelling of 312132631910677 in words is "three hundred twelve trillion, one hundred thirty-two billion, six hundred thirty-one million, nine hundred ten thousand, six hundred seventy-seven".