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312136364404661 is a prime number
BaseRepresentation
bin100011011111000101110100…
…1000111110010111110110101
31111221011221111220201012011112
41012332023221013302332311
5311403020233241422121
63023505244412444405
7122514052043015426
oct10676135107627665
91457157456635145
10312136364404661
119050231a367915
122b012150a79705
13105224433c2834
1457116a2c6964d
1526145b320c75b
hex11be2e91f2fb5

312136364404661 has 2 divisors, whose sum is σ = 312136364404662. Its totient is φ = 312136364404660.

The previous prime is 312136364404607. The next prime is 312136364404673. The reversal of 312136364404661 is 166404463631213.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 271775831640625 + 40360532764036 = 16485625^2 + 6352994^2 .

It is an emirp because it is prime and its reverse (166404463631213) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-312136364404661 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312136364401661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156068182202330 + 156068182202331.

It is an arithmetic number, because the mean of its divisors is an integer number (156068182202331).

Almost surely, 2312136364404661 is an apocalyptic number.

It is an amenable number.

312136364404661 is a deficient number, since it is larger than the sum of its proper divisors (1).

312136364404661 is an equidigital number, since it uses as much as digits as its factorization.

312136364404661 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4478976, while the sum is 50.

The spelling of 312136364404661 in words is "three hundred twelve trillion, one hundred thirty-six billion, three hundred sixty-four million, four hundred four thousand, six hundred sixty-one".