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31261402116 = 2234724115717
BaseRepresentation
bin11101000111010100…
…110010010000000100
32222200122211202210000
4131013110302100010
51003010404331431
622210012201300
72154454351020
oct350724622004
988618752700
1031261402116
111229227911a
126085469230
132c42807799
141727b9d380
15c2e7429e6
hex747532404

31261402116 has 120 divisors (see below), whose sum is σ = 93453345216. Its totient is φ = 8926562880.

The previous prime is 31261402087. The next prime is 31261402121. The reversal of 31261402116 is 61120416213.

It is a happy number.

31261402116 is a `hidden beast` number, since 3 + 12 + 614 + 0 + 21 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 31261402116.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5465290 + ... + 5471006.

Almost surely, 231261402116 is an apocalyptic number.

31261402116 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31261402116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46726672608).

31261402116 is an abundant number, since it is smaller than the sum of its proper divisors (62191943100).

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

31261402116 is a wasteful number, since it uses less digits than its factorization.

31261402116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8151 (or 8140 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 31261402116 its reverse (61120416213), we get a palindrome (92381818329).

The spelling of 31261402116 in words is "thirty-one billion, two hundred sixty-one million, four hundred two thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 252 324 378 567 756 1134 2268 2411 4822 5717 7233 9644 11434 14466 16877 17151 21699 22868 28932 33754 34302 40019 43398 50631 51453 65097 67508 68604 80038 86796 101262 102906 120057 130194 151893 154359 160076 195291 202524 205812 240114 260388 303786 308718 360171 390582 455679 463077 480228 607572 617436 720342 781164 911358 926154 1080513 1367037 1440684 1822716 1852308 2161026 2734074 3241539 4322052 5468148 6483078 12966156 13783687 27567374 41351061 55134748 82702122 96485809 124053183 165404244 192971618 248106366 289457427 372159549 385943236 496212732 578914854 744319098 868372281 1116478647 1157829708 1488638196 1736744562 2232957294 2605116843 3473489124 4465914588 5210233686 7815350529 10420467372 15630701058 31261402116