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1312104255 = 357118313687
BaseRepresentation
bin100111000110101…
…0001111100111111
310101102221210122220
41032031101330333
510141344314010
6334110540423
744341462560
oct11615217477
93342853586
101312104255
11613715390
12307507713
1317bab5567
14c6392167
157a2d1970
hex4e351f3f

1312104255 has 64 divisors (see below), whose sum is σ = 2649120768. Its totient is φ = 538680960.

The previous prime is 1312104247. The next prime is 1312104271. The reversal of 1312104255 is 5524012131.

It is a happy number.

It is not a de Polignac number, because 1312104255 - 23 = 1312104247 is a prime.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 89022 + ... + 102708.

It is an arithmetic number, because the mean of its divisors is an integer number (41392512).

Almost surely, 21312104255 is an apocalyptic number.

1312104255 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1312104255 is an abundant number, since it is smaller than the sum of its proper divisors (1337016513).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1312104255 is a wasteful number, since it uses less digits than its factorization.

1312104255 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13796.

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 1312104255 is about 36222.9796538054. The cubic root of 1312104255 is about 1094.7697311925.

Adding to 1312104255 its reverse (5524012131), we get a palindrome (6836116386).

The spelling of 1312104255 in words is "one billion, three hundred twelve million, one hundred four thousand, two hundred fifty-five".

Divisors: 1 3 5 7 11 15 21 33 35 55 77 83 105 165 231 249 385 415 581 913 1155 1245 1743 2739 2905 4565 6391 8715 13687 13695 19173 31955 41061 68435 95809 95865 150557 205305 287427 451671 479045 752785 1053899 1136021 1437135 2258355 3161697 3408063 5269495 5680105 7952147 12496231 15808485 17040315 23856441 37488693 39760735 62481155 87473617 119282205 187443465 262420851 437368085 1312104255