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131731355340 = 223251356295451
BaseRepresentation
bin111101010101111001…
…1001111011011001100
3110121000120210012122200
41322223303033123030
54124241211332330
6140303324041500
712342266021364
oct1725363173314
9417016705580
10131731355340
1150959a09012
1221644693290
13c5647abc50
1465393d39a4
15365ed5ca60
hex1eabccf6cc

131731355340 has 72 divisors (see below), whose sum is σ = 430322435088. Its totient is φ = 32426179200.

The previous prime is 131731355339. The next prime is 131731355381. The reversal of 131731355340 is 43553137131.

131731355340 is a `hidden beast` number, since 1 + 31 + 7 + 31 + 3 + 553 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 131731355295 and 131731355304.

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 23 ways as a sum of consecutive naturals, for example, 28145386 + ... + 28150065.

Almost surely, 2131731355340 is an apocalyptic number.

131731355340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131731355340 is an abundant number, since it is smaller than the sum of its proper divisors (298591079748).

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

131731355340 is a wasteful number, since it uses less digits than its factorization.

131731355340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56295479 (or 56295474 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 36.

The spelling of 131731355340 in words is "one hundred thirty-one billion, seven hundred thirty-one million, three hundred fifty-five thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 56295451 112590902 168886353 225181804 281477255 337772706 506659059 562954510 675545412 731840863 844431765 1013318118 1125909020 1463681726 1688863530 2026636236 2195522589 2533295295 2927363452 3377727060 3659204315 4391045178 5066590590 6586567767 7318408630 8782090356 10133181180 10977612945 13173135534 14636817260 21955225890 26346271068 32932838835 43910451780 65865677670 131731355340