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131000031201420 = 22345268330139477
BaseRepresentation
bin11101110010010011010010…
…010100110100100010001100
3122011211110222102010220120000
4131302103102110310202030
5114132301030441421140
61142340330013124300
736410303615521653
oct3562232224644214
9564743872126500
10131000031201420
113881688a4a4217
1212838825489690
1358133331567b4
14244c61480819a
151022928924a30
hex7724d253488c

131000031201420 has 120 divisors (see below), whose sum is σ = 411105132194064. Its totient is φ = 34920320241024.

The previous prime is 131000031201373. The next prime is 131000031201443. The reversal of 131000031201420 is 24102130000131.

131000031201420 is a `hidden beast` number, since 1 + 3 + 10 + 0 + 0 + 0 + 31 + 201 + 420 = 666.

131000031201420 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1310000312014202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 131000031201393 and 131000031201402.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10723279 + ... + 19416198.

Almost surely, 2131000031201420 is an apocalyptic number.

131000031201420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131000031201420 is an abundant number, since it is smaller than the sum of its proper divisors (280105100992644).

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

131000031201420 is a wasteful number, since it uses less digits than its factorization.

131000031201420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30142181 (or 30142170 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 131000031201420 its reverse (24102130000131), we get a palindrome (155102161201551).

The spelling of 131000031201420 in words is "one hundred thirty-one trillion, thirty-one million, two hundred one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 2683 5366 8049 10732 13415 16098 24147 26830 32196 40245 48294 53660 72441 80490 96588 120735 144882 160980 217323 241470 289764 362205 434646 482940 724410 869292 1086615 1448820 2173230 4346460 30139477 60278954 90418431 120557908 150697385 180836862 271255293 301394770 361673724 452092155 542510586 602789540 813765879 904184310 1085021172 1356276465 1627531758 1808368620 2441297637 2712552930 3255063516 4068829395 4882595274 5425105860 8137658790 9765190548 12206488185 16275317580 24412976370 48825952740 80864216791 161728433582 242592650373 323456867164 404321083955 485185300746 727777951119 808642167910 970370601492 1212963251865 1455555902238 1617284335820 2183333853357 2425926503730 2911111804476 3638889755595 4366667706714 4851853007460 6550001560071 7277779511190 8733335413428 10916669266785 13100003120142 14555559022380 21833338533570 26200006240284 32750007800355 43666677067140 65500015600710 131000031201420