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131142144124420 = 2251113123737068631
BaseRepresentation
bin11101110100010111101000…
…111010100110011000000100
3122012100001210111200101202121
4131310113220322212120010
5114142113102343440140
61142525511434215324
736423464404450432
oct3564275072463004
9565301714611677
10131142144124420
1138871086542710
1212860286884544
1358238606ac790
1424554568c7d52
151026494db264a
hex7745e8ea6604

131142144124420 has 96 divisors (see below), whose sum is σ = 323806659031296. Its totient is φ = 43984153612800.

The previous prime is 131142144124373. The next prime is 131142144124483. The reversal of 131142144124420 is 24421441241131.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14996496 + ... + 22072135.

It is an arithmetic number, because the mean of its divisors is an integer number (3372986031576).

Almost surely, 2131142144124420 is an apocalyptic number.

131142144124420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131142144124420 is an abundant number, since it is smaller than the sum of its proper divisors (192664514906876).

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

131142144124420 is a wasteful number, since it uses less digits than its factorization.

131142144124420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37069901 (or 37069899 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 34.

Adding to 131142144124420 its reverse (24421441241131), we get a palindrome (155563585365551).

The spelling of 131142144124420 in words is "one hundred thirty-one trillion, one hundred forty-two billion, one hundred forty-four million, one hundred twenty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 130 143 220 260 286 572 715 1237 1430 2474 2860 4948 6185 12370 13607 16081 24740 27214 32162 54428 64324 68035 80405 136070 160810 176891 272140 321620 353782 707564 884455 1768910 3537820 37068631 74137262 148274524 185343155 370686310 407754941 481892203 741372620 815509882 963784406 1631019764 1927568812 2038774705 2409461015 4077549410 4818922030 5300814233 8155098820 9637844060 10601628466 21203256932 26504071165 45853896547 53008142330 91707793094 106016284660 183415586188 229269482735 458538965470 504392862017 596100655111 917077930940 1008785724034 1192201310222 2017571448068 2384402620444 2521964310085 2980503275555 5043928620170 5961006551110 6557107206221 10087857240340 11922013102220 13114214412442 26228428824884 32785536031105 65571072062210 131142144124420