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31413103304 = 2311237907967
BaseRepresentation
bin11101010000010111…
…011110101011001000
310000002020021222200112
4131100113132223020
51003313223301204
622233031453452
72161305654362
oct352027365310
9100066258615
1031413103304
111235a972500
126108227288
132c68080abb
14173ddabd32
15c3cc0b26e
hex7505deac8

31413103304 has 96 divisors (see below), whose sum is σ = 66632744640. Its totient is φ = 13863104640.

The previous prime is 31413103279. The next prime is 31413103367. The reversal of 31413103304 is 40330131413.

It is a self number, because there is not a number n which added to its sum of digits gives 31413103304.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32484629 + ... + 32485595.

It is an arithmetic number, because the mean of its divisors is an integer number (694091090).

Almost surely, 231413103304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31413103304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33316372320).

31413103304 is an abundant number, since it is smaller than the sum of its proper divisors (35219641336).

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

31413103304 is a wasteful number, since it uses less digits than its factorization.

31413103304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1939 (or 1924 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 31413103304 its reverse (40330131413), we get a palindrome (71743234717).

The spelling of 31413103304 in words is "thirty-one billion, four hundred thirteen million, one hundred three thousand, three hundred four".

Divisors: 1 2 4 8 11 22 37 44 74 88 121 148 242 296 407 484 814 907 967 968 1628 1814 1934 3256 3628 3868 4477 7256 7736 8954 9977 10637 17908 19954 21274 33559 35779 35816 39908 42548 67118 71558 79816 85096 109747 117007 134236 143116 219494 234014 268472 286232 369149 393569 438988 468028 738298 787138 877069 877976 936056 1476596 1574276 1754138 2953192 3148552 3508276 4060639 4329259 7016552 8121278 8658518 9647759 16242556 17317036 19295518 32451553 32485112 34634072 38591036 64903106 77182072 106125349 129806212 212250698 259612424 356967083 424501396 713934166 849002792 1427868332 2855736664 3926637913 7853275826 15706551652 31413103304