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312413412355 = 511109199307853
BaseRepresentation
bin1001000101111010100…
…10100101110000000011
31002212101121221201020021
410202331102211300003
520104310313143410
6355304251354311
731366616122042
oct4427522456003
91085347851207
10312413412355
11110548254780
125066a752997
13235ca81c815
1411199a16559
1581d7391eda
hex48bd4a5c03

312413412355 has 64 divisors (see below), whose sum is σ = 416642688000. Its totient is φ = 223002616320.

The previous prime is 312413412329. The next prime is 312413412359. The reversal of 312413412355 is 553214314213.

It is not a de Polignac number, because 312413412355 - 215 = 312413379587 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 312413412355.

It is not an unprimeable number, because it can be changed into a prime (312413412359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 366252109 + ... + 366252961.

It is an arithmetic number, because the mean of its divisors is an integer number (6510042000).

Almost surely, 2312413412355 is an apocalyptic number.

312413412355 is a deficient number, since it is larger than the sum of its proper divisors (104229275645).

312413412355 is a wasteful number, since it uses less digits than its factorization.

312413412355 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1484.

The product of its digits is 43200, while the sum is 34.

Adding to 312413412355 its reverse (553214314213), we get a palindrome (865627726568).

The spelling of 312413412355 in words is "three hundred twelve billion, four hundred thirteen million, four hundred twelve thousand, three hundred fifty-five".

Divisors: 1 5 11 55 109 199 307 545 853 995 1199 1535 2189 3377 4265 5995 9383 10945 16885 21691 33463 46915 61093 92977 108455 167315 169747 238601 261871 305465 368093 464885 672023 848735 1022747 1193005 1309355 1840465 1867217 2880581 3360115 5113735 6659137 9336085 14402905 18502423 28543939 33295685 52112329 73250507 92512115 142719695 203526653 260561645 313983329 366252535 573235619 1017633265 1569916645 2866178095 5680243861 28401219305 62482682471 312413412355