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312657323311 is a prime number
BaseRepresentation
bin1001000110010111101…
…01000010010100101111
31002220000121220200011101
410203023311002110233
520110310233321221
6355344403303531
731405640253514
oct4431365022457
91086017820141
10312657323311
111106629a9683
125071837aba7
132363920c828
14111c018930b
1581ed9c1d91
hex48cbd4252f

312657323311 has 2 divisors, whose sum is σ = 312657323312. Its totient is φ = 312657323310.

The previous prime is 312657323269. The next prime is 312657323327. The reversal of 312657323311 is 113323756213.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 312657323311 - 221 = 312655226159 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312657323411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156328661655 + 156328661656.

It is an arithmetic number, because the mean of its divisors is an integer number (156328661656).

Almost surely, 2312657323311 is an apocalyptic number.

312657323311 is a deficient number, since it is larger than the sum of its proper divisors (1).

312657323311 is an equidigital number, since it uses as much as digits as its factorization.

312657323311 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 68040, while the sum is 37.

The spelling of 312657323311 in words is "three hundred twelve billion, six hundred fifty-seven million, three hundred twenty-three thousand, three hundred eleven".