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312011000110267 is a prime number
BaseRepresentation
bin100011011110001011011100…
…0110100111101110010111011
31111220201221221001200012010221
41012330112320310331302323
5311343442012012012032
63023331512532520511
7122502023306054653
oct10674267064756273
91456657831605127
10312011000110267
11904641384a7a47
122abb19a4780137
1310513684a5a293
1457095ad313363
1526111c7341597
hex11bc5b8d3dcbb

312011000110267 has 2 divisors, whose sum is σ = 312011000110268. Its totient is φ = 312011000110266.

The previous prime is 312011000110177. The next prime is 312011000110319. The reversal of 312011000110267 is 762011000110213.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 312011000110267 - 235 = 311976640371899 is a prime.

It is a super-2 number, since 2×3120110001102672 (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (312011000110967) 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, 156005500055133 + 156005500055134.

It is an arithmetic number, because the mean of its divisors is an integer number (156005500055134).

Almost surely, 2312011000110267 is an apocalyptic number.

312011000110267 is a deficient number, since it is larger than the sum of its proper divisors (1).

312011000110267 is an equidigital number, since it uses as much as digits as its factorization.

312011000110267 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 504, while the sum is 25.

The spelling of 312011000110267 in words is "three hundred twelve trillion, eleven billion, one hundred ten thousand, two hundred sixty-seven".