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131122111241232 = 24332291325429719
BaseRepresentation
bin11101110100000100111110…
…110111001101110000010000
3122012021011002101021111021000
4131310010332313031300100
5114141301040434204412
61142512355532102000
736422155102656246
oct3564047667156020
9565234071244230
10131122111241232
11388636364a4001
1212858415904900
1358219ba260747
1424544b60c2796
151025bc12ed4dc
hex77413edcdc10

131122111241232 has 80 divisors (see below), whose sum is σ = 378012556144000. Its totient is φ = 43516508501376.

The previous prime is 131122111241183. The next prime is 131122111241263. The reversal of 131122111241232 is 232142111221131.

131122111241232 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 2 + 211 + 1 + 2 + 412 + 32 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 131122111241196 and 131122111241205.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 662615932 + ... + 662813787.

It is an arithmetic number, because the mean of its divisors is an integer number (4725156951800).

Almost surely, 2131122111241232 is an apocalyptic number.

131122111241232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131122111241232 is an abundant number, since it is smaller than the sum of its proper divisors (246890444902768).

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

131122111241232 is a wasteful number, since it uses less digits than its factorization.

131122111241232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1325429965 (or 1325429953 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

Adding to 131122111241232 its reverse (232142111221131), we get a palindrome (363264222462363).

The spelling of 131122111241232 in words is "one hundred thirty-one trillion, one hundred twenty-two billion, one hundred eleven million, two hundred forty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 229 432 458 687 916 1374 1832 2061 2748 3664 4122 5496 6183 8244 10992 12366 16488 24732 32976 49464 98928 1325429719 2650859438 3976289157 5301718876 7952578314 10603437752 11928867471 15905156628 21206875504 23857734942 31810313256 35786602413 47715469884 63620626512 71573204826 95430939768 143146409652 190861879536 286292819304 303523405651 572585638608 607046811302 910570216953 1214093622604 1821140433906 2428187245208 2731710650859 3642280867812 4856374490416 5463421301718 7284561735624 8195131952577 10926842603436 14569123471248 16390263905154 21853685206872 32780527810308 43707370413744 65561055620616 131122111241232