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131121233441040 = 24358321131196167
BaseRepresentation
bin11101110100000100001010…
…100010101011000100010000
3122012021001211012112121202210
4131310010022202223010100
5114141242241230103130
61142512132453512120
736422124253541103
oct3564041242530420
9565231735477683
10131121233441040
1138863225a547a7
121285820b942640
1358218aa43a84b
1424544316a473a
151025b6e2095b0
hex77410a8ab110

131121233441040 has 160 divisors (see below), whose sum is σ = 413322771649536. Its totient is φ = 34380670625280.

The previous prime is 131121233440859. The next prime is 131121233441041. The reversal of 131121233441040 is 40144332121131.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 131121233440989 and 131121233441007.

It is not an unprimeable number, because it can be changed into a prime (131121233441041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11394964 + ... + 19801203.

Almost surely, 2131121233441040 is an apocalyptic number.

131121233441040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131121233441040 is an abundant number, since it is smaller than the sum of its proper divisors (282201538208496).

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

131121233441040 is a wasteful number, since it uses less digits than its factorization.

131121233441040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31196477 (or 31196471 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 131121233441040 its reverse (40144332121131), we get a palindrome (171265565562171).

The spelling of 131121233441040 in words is "one hundred thirty-one trillion, one hundred twenty-one billion, two hundred thirty-three million, four hundred forty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 83 120 166 211 240 249 332 415 422 498 633 664 830 844 996 1055 1245 1266 1328 1660 1688 1992 2110 2490 2532 3165 3320 3376 3984 4220 4980 5064 6330 6640 8440 9960 10128 12660 16880 17513 19920 25320 35026 50640 52539 70052 87565 105078 140104 175130 210156 262695 280208 350260 420312 525390 700520 840624 1050780 1401040 2101560 4203120 31196167 62392334 93588501 124784668 155980835 187177002 249569336 311961670 374354004 467942505 499138672 623923340 748708008 935885010 1247846680 1497416016 1871770020 2495693360 2589281861 3743540040 5178563722 6582391237 7487080080 7767845583 10357127444 12946409305 13164782474 15535691166 19747173711 20714254888 25892818610 26329564948 31071382332 32911956185 38839227915 39494347422 41428509776 51785637220 52659129896 62142764664 65823912370 77678455830 78988694844 98735868555 103571274440 105318259792 124285529328 131647824740 155356911660 157977389688 197471737110 207142548880 263295649480 310713823320 315954779376 394943474220 526591298960 546338472671 621427646640 789886948440 1092676945342 1579773896880 1639015418013 2185353890684 2731692363355 3278030836026 4370707781368 5463384726710 6556061672052 8195077090065 8741415562736 10926769453420 13112123344104 16390154180130 21853538906840 26224246688208 32780308360260 43707077813680 65560616720520 131121233441040