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131344351512220 = 225711181471207403
BaseRepresentation
bin11101110111010011111101…
…011010100100011010011100
3122020001101201200120000001201
4131313103331122210122130
5114203421212441342340
61143202432340245244
736444213321053410
oct3567237532443234
9566041650500051
10131344351512220
1138939910319a50
12128934b96a0824
135839947118b82
142461159c0ad40
15102b87c01279a
hex7774fd6a469c

131344351512220 has 96 divisors (see below), whose sum is σ = 345783302032896. Its totient is φ = 40712319532800.

The previous prime is 131344351512217. The next prime is 131344351512247. The reversal of 131344351512220 is 22215153443131.

It is a self number, because there is not a number n which added to its sum of digits gives 131344351512220.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 235324962 + ... + 235882441.

It is an arithmetic number, because the mean of its divisors is an integer number (3601909396176).

Almost surely, 2131344351512220 is an apocalyptic number.

131344351512220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131344351512220 is an abundant number, since it is smaller than the sum of its proper divisors (214438950520676).

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

131344351512220 is a wasteful number, since it uses less digits than its factorization.

131344351512220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471207611 (or 471207609 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 37.

The spelling of 131344351512220 in words is "one hundred thirty-one trillion, three hundred forty-four billion, three hundred fifty-one million, five hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 181 220 308 362 385 724 770 905 1267 1540 1810 1991 2534 3620 3982 5068 6335 7964 9955 12670 13937 19910 25340 27874 39820 55748 69685 139370 278740 471207403 942414806 1884829612 2356037015 3298451821 4712074030 5183281433 6596903642 9424148060 10366562866 13193807284 16492259105 20733125732 25916407165 32984518210 36282970031 51832814330 65969036420 72565940062 85288539943 103665628660 145131880124 170577079886 181414850155 341154159772 362829700310 426442699715 597019779601 725659400620 852885399430 938173939373 1194039559202 1705770798860 1876347878746 2388079118404 2985098898005 3752695757492 4690869696865 5970197796010 6567217575611 9381739393730 11940395592020 13134435151222 18763478787460 26268870302444 32836087878055 65672175756110 131344351512220