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131000031201402 = 232112229726184997
BaseRepresentation
bin11101110010010011010010…
…010100110100100001111010
3122011211110222102010220112100
4131302103102110310201322
5114132301030441421102
61142340330013124230
736410303615521626
oct3562232224644172
9564743872126470
10131000031201402
113881688a4a4200
1212838825489676
13581333315679c
14244c614808186
151022928924a1c
hex7724d253487a

131000031201402 has 72 divisors (see below), whose sum is σ = 312118001470548. Its totient is φ = 39679695538560.

The previous prime is 131000031201373. The next prime is 131000031201443. The reversal of 131000031201402 is 204102130000131.

131000031201402 is a `hidden beast` number, since 1 + 31 + 0 + 0 + 0 + 0 + 31 + 201 + 402 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 128039838689961 + 2960192511441 = 11315469^2 + 1720521^2 .

It is a super-2 number, since 2×1310000312014022 (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 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 35 ways as a sum of consecutive naturals, for example, 8089633 + ... + 18095364.

Almost surely, 2131000031201402 is an apocalyptic number.

131000031201402 is an abundant number, since it is smaller than the sum of its proper divisors (181117970269146).

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

131000031201402 is a wasteful number, since it uses less digits than its factorization.

131000031201402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26187324 (or 26187310 counting only the distinct ones).

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

Adding to 131000031201402 its reverse (204102130000131), we get a palindrome (335102161201533).

The spelling of 131000031201402 in words is "one hundred thirty-one trillion, thirty-one million, two hundred one thousand, four hundred two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 198 242 363 726 1089 2178 2297 4594 6891 13782 20673 25267 41346 50534 75801 151602 227403 277937 454806 555874 833811 1667622 2501433 5002866 26184997 52369994 78554991 157109982 235664973 288034967 471329946 576069934 864104901 1728209802 2592314703 3168384637 5184629406 6336769274 9505153911 19010307822 28515461733 57030923466 60146938109 120293876218 180440814327 360881628654 541322442981 661616319199 1082644885962 1323232638398 1984848957597 3969697915194 5954546872791 7277779511189 11909093745582 14555559022378 21833338533567 43666677067134 65500015600701 131000031201402