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312113031110321 = 72172965267197959
BaseRepresentation
bin100011011110111010111101…
…0010110010101111010110001
31111221002201021210000000200212
41012331311322112111322301
5311402124441431012241
63023450425211153505
7122512264604210300
oct10675657226257261
91457081253000625
10312113031110321
11904a3436323491
122b00971a745895
13105201952792ac
1457104cbdbc437
152613b99a13beb
hex11bdd7a595eb1

312113031110321 has 48 divisors (see below), whose sum is σ = 397691551958400. Its totient is φ = 243101343195648.

The previous prime is 312113031110261. The next prime is 312113031110329. The reversal of 312113031110321 is 123011130311213.

It is a de Polignac number, because none of the positive numbers 2k-312113031110321 is a prime.

It is not an unprimeable number, because it can be changed into a prime (312113031110329) 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 in 47 ways as a sum of consecutive naturals, for example, 1576555940 + ... + 1576753898.

It is an arithmetic number, because the mean of its divisors is an integer number (8285240665800).

Almost surely, 2312113031110321 is an apocalyptic number.

It is an amenable number.

312113031110321 is a deficient number, since it is larger than the sum of its proper divisors (85578520848079).

312113031110321 is a wasteful number, since it uses less digits than its factorization.

312113031110321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263286 (or 263279 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 23.

Adding to 312113031110321 its reverse (123011130311213), we get a palindrome (435124161421534).

The spelling of 312113031110321 in words is "three hundred twelve trillion, one hundred thirteen billion, thirty-one million, one hundred ten thousand, three hundred twenty-one".

Divisors: 1 7 17 29 49 119 203 493 833 1421 3451 24157 65267 197959 456869 1109539 1385713 1892743 3198083 3365303 5740811 7766773 9699991 13249201 23557121 32176631 40185677 54367411 92744407 97593787 164899847 225236417 281299739 683156509 1576654919 4782095563 12920190053 90441330371 219643230901 374685511537 633089312597 1537502616307 2622798580759 6369653696129 10762518314149 18359590065313 44587575872903 312113031110321