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131141324000420 = 225337353310917729
BaseRepresentation
bin11101110100010110111000…
…000010000100110010100100
3122012022222200100110210010122
4131310112320002010302210
5114142104412421003140
61142525254220141112
736423435155510366
oct3564267002046244
9565288610423118
10131141324000420
11388707a5607388
1212860098097798
13582375c801bc6
1424553b9a00d36
151026447db2ab5
hex7745b8084ca4

131141324000420 has 96 divisors (see below), whose sum is σ = 277101181375200. Its totient is φ = 52132995661824.

The previous prime is 131141324000389. The next prime is 131141324000473. The reversal of 131141324000420 is 24000423141131.

It can be written as a sum of positive squares in 16 ways, for example, as 56799405025444 + 74341918974976 = 7536538^2 + 8622176^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 131141324000420.

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, 7396986116 + ... + 7397003844.

It is an arithmetic number, because the mean of its divisors is an integer number (2886470639325).

Almost surely, 2131141324000420 is an apocalyptic number.

131141324000420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131141324000420 is an abundant number, since it is smaller than the sum of its proper divisors (145959857374780).

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

131141324000420 is a wasteful number, since it uses less digits than its factorization.

131141324000420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21537 (or 21535 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 131141324000420 its reverse (24000423141131), we get a palindrome (155141747141551).

The spelling of 131141324000420 in words is "one hundred thirty-one trillion, one hundred forty-one billion, three hundred twenty-four million, four hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 337 353 674 706 1348 1412 1685 1765 3109 3370 3530 6218 6740 7060 12436 15545 17729 31090 35458 62180 70916 88645 118961 177290 237922 354580 475844 594805 1047733 1097477 1189610 2095466 2194954 2379220 4190932 4389908 5238665 5487385 5974673 6258337 10477330 10974770 11949346 12516674 20954660 21949540 23898692 25033348 29873365 31291685 55119461 59746730 62583370 110238922 119493460 125166740 220477844 275597305 369849749 551194610 739699498 1102389220 1479398996 1849248745 2109059569 3698497490 4218119138 7396994980 8436238276 10545297845 18575258357 19457169733 21090595690 37150516714 38914339466 42181191380 74301033428 77828678932 92876291785 97285848665 185752583570 194571697330 371505167140 389143394660 6557066200021 13114132400042 26228264800084 32785331000105 65570662000210 131141324000420