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12312100210311 = 331141454882863
BaseRepresentation
bin1011001100101010001001…
…0111000000011010000111
31121121000200102200111121000
42303022202113000122013
53103210140123212221
642104033432424343
72410343215021056
oct263124227003207
947530612614530
1012312100210311
113a17594658210
12146a2015480b3
136b404536b445
14307ca1b8639d
151653eca46e26
hexb32a25c0687

12312100210311 has 16 divisors (see below), whose sum is σ = 19898343774720. Its totient is φ = 7461878915160.

The previous prime is 12312100210283. The next prime is 12312100210391. The reversal of 12312100210311 is 11301200121321.

12312100210311 is a `hidden beast` number, since 1 + 23 + 121 + 0 + 0 + 210 + 311 = 666.

It is not a de Polignac number, because 12312100210311 - 215 = 12312100177543 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12312100210391) 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 in 15 ways as a sum of consecutive naturals, for example, 20727441135 + ... + 20727441728.

It is an arithmetic number, because the mean of its divisors is an integer number (1243646485920).

Almost surely, 212312100210311 is an apocalyptic number.

12312100210311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12312100210311 is a deficient number, since it is larger than the sum of its proper divisors (7586243564409).

12312100210311 is a wasteful number, since it uses less digits than its factorization.

12312100210311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41454882883 (or 41454882877 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 12312100210311 its reverse (11301200121321), we get a palindrome (23613300331632).

The spelling of 12312100210311 in words is "twelve trillion, three hundred twelve billion, one hundred million, two hundred ten thousand, three hundred eleven".

Divisors: 1 3 9 11 27 33 99 297 41454882863 124364648589 373093945767 456003711493 1119281837301 1368011134479 4104033403437 12312100210311