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131655242052 = 22333139323549
BaseRepresentation
bin111101010011101000…
…0111001000101000100
3110120211021120020212000
41322213100321011010
54124112220221202
6140252004425300
712340353043635
oct1724720710504
9416737506760
10131655242052
115091aa51a74
12216230a8230
13c551aac9b9
14652d25d88c
15365832591c
hex1ea7439144

131655242052 has 48 divisors (see below), whose sum is σ = 352339008000. Its totient is φ = 42469431840.

The previous prime is 131655242041. The next prime is 131655242093. The reversal of 131655242052 is 250242556131.

131655242052 is a `hidden beast` number, since 1 + 3 + 1 + 65 + 524 + 20 + 52 = 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 = 131655241998 and 131655242016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19658427 + ... + 19665122.

It is an arithmetic number, because the mean of its divisors is an integer number (7340396000).

Almost surely, 2131655242052 is an apocalyptic number.

131655242052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131655242052 is an abundant number, since it is smaller than the sum of its proper divisors (220683765948).

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

131655242052 is a wasteful number, since it uses less digits than its factorization.

131655242052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39323593 (or 39323585 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 131655242052 its reverse (250242556131), we get a palindrome (381897798183).

The spelling of 131655242052 in words is "one hundred thirty-one billion, six hundred fifty-five million, two hundred forty-two thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 93 108 124 186 279 372 558 837 1116 1674 3348 39323549 78647098 117970647 157294196 235941294 353911941 471882588 707823882 1061735823 1219030019 1415647764 2123471646 2438060038 3657090057 4246943292 4876120076 7314180114 10971270171 14628360228 21942540342 32913810513 43885080684 65827621026 131655242052