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131212214133110 = 25112312112840631
BaseRepresentation
bin11101110101011000111001…
…011010011110000101110110
3122012120202122210202122111122
4131311120321122132011312
5114144240103304224420
61143022020425503542
736431524661631155
oct3565307132360566
9565522583678448
10131212214133110
1138898873201300
1212871981041bb2
13582a349499896
1424589c292559c
1510281e6701725
hex77563969e176

131212214133110 has 72 divisors (see below), whose sum is σ = 268249489696944. Its totient is φ = 46174385796000.

The previous prime is 131212214133109. The next prime is 131212214133113. The reversal of 131212214133110 is 11331412212131.

It is a super-2 number, since 2×1312122141331102 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 131212214133110.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131212214133113) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 55257506 + ... + 57583125.

It is an arithmetic number, because the mean of its divisors is an integer number (3725687356902).

Almost surely, 2131212214133110 is an apocalyptic number.

131212214133110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131212214133110 is an abundant number, since it is smaller than the sum of its proper divisors (137037275563834).

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

131212214133110 is a wasteful number, since it uses less digits than its factorization.

131212214133110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112840722 (or 112840680 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

Adding to 131212214133110 its reverse (11331412212131), we get a palindrome (142543626345241).

The spelling of 131212214133110 in words is "one hundred thirty-one trillion, two hundred twelve billion, two hundred fourteen million, one hundred thirty-three thousand, one hundred ten".

Divisors: 1 2 5 10 11 22 31 55 62 110 121 155 242 310 341 605 682 961 1210 1705 1922 3410 3751 4805 7502 9610 10571 18755 21142 37510 52855 105710 116281 232562 581405 1162810 112840631 225681262 564203155 1128406310 1241246941 2482493882 3498059561 6206234705 6996119122 12412469410 13653716351 17490297805 27307432702 34980595610 38478655171 68268581755 76957310342 108439846391 136537163510 192393275855 216879692782 384786551710 423265206881 542199231955 846530413762 1084398463910 1192838310301 2116326034405 2385676620602 4232652068810 5964191551505 11928383103010 13121221413311 26242442826622 65606107066555 131212214133110