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131583286082340 = 223256710910720239
BaseRepresentation
bin11101111010110010011111…
…000001100111101100100100
3122020220020110110002210000200
4131322302133001213230210
5114221330032214113330
61143504305505310500
736500402331306561
oct3572623701475444
9566806413083020
10131583286082340
1138a21181695a24
1212911880335430
135856334851b01
14246c944b99868
151032bb3665a60
hex77ac9f067b24

131583286082340 has 72 divisors (see below), whose sum is σ = 405093221070720. Its totient is φ = 34565161713984.

The previous prime is 131583286082327. The next prime is 131583286082377. The reversal of 131583286082340 is 43280682385131.

131583286082340 is a `hidden beast` number, since 1 + 3 + 1 + 5 + 8 + 3 + 2 + 8 + 608 + 23 + 4 + 0 = 666.

It is a super-2 number, since 2×1315832860823402 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5455348060 + ... + 5455372179.

Almost surely, 2131583286082340 is an apocalyptic number.

131583286082340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131583286082340 is an abundant number, since it is smaller than the sum of its proper divisors (273509934988380).

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

131583286082340 is a wasteful number, since it uses less digits than its factorization.

131583286082340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10910720321 (or 10910720316 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 131583286082340 in words is "one hundred thirty-one trillion, five hundred eighty-three billion, two hundred eighty-six million, eighty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 67 90 134 180 201 268 335 402 603 670 804 1005 1206 1340 2010 2412 3015 4020 6030 12060 10910720239 21821440478 32732160717 43642880956 54553601195 65464321434 98196482151 109107202390 130928642868 163660803585 196392964302 218214404780 327321607170 392785928604 490982410755 654643214340 731018256013 981964821510 1462036512026 1963929643020 2193054768039 2924073024052 3655091280065 4386109536078 6579164304117 7310182560130 8772219072156 10965273840195 13158328608234 14620365120260 21930547680390 26316657216468 32895821520585 43861095360780 65791643041170 131583286082340