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131400131676 = 223111952392397
BaseRepresentation
bin111101001100000001…
…1101110010001011100
3110120011111112022012120
41322120003232101130
54123101413203201
6140210412502540
712331134455622
oct1723003562134
9416144468176
10131400131676
11507a9a48850
122157177aa50
13c510c9b208
146507413512
153640c32536
hex1e980ee45c

131400131676 has 48 divisors (see below), whose sum is σ = 352076914560. Its totient is φ = 37722525120.

The previous prime is 131400131641. The next prime is 131400131683. The reversal of 131400131676 is 676131004131.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26193691 + ... + 26198706.

It is an arithmetic number, because the mean of its divisors is an integer number (7334935720).

Almost surely, 2131400131676 is an apocalyptic number.

It is an amenable number.

131400131676 is an abundant number, since it is smaller than the sum of its proper divisors (220676782884).

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

131400131676 is a wasteful number, since it uses less digits than its factorization.

131400131676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52392434 (or 52392432 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The spelling of 131400131676 in words is "one hundred thirty-one billion, four hundred million, one hundred thirty-one thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 66 76 114 132 209 228 418 627 836 1254 2508 52392397 104784794 157177191 209569588 314354382 576316367 628708764 995455543 1152632734 1728949101 1990911086 2305265468 2986366629 3457898202 3981822172 5972733258 6915796404 10950010973 11945466516 21900021946 32850032919 43800043892 65700065838 131400131676