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131435665650 = 23252292079257
BaseRepresentation
bin111101001101000101…
…1010001100011110010
3110120020222101121122200
41322122023101203302
54123140012300100
6140214122244030
712332045503332
oct1723213214362
9416228347580
10131435665650
1150818008a73
1221581656616
13c518460033
14650c0230c2
153643e00e00
hex1e9a2d18f2

131435665650 has 36 divisors (see below), whose sum is σ = 353123822922. Its totient is φ = 35049510720.

The previous prime is 131435665591. The next prime is 131435665681. The reversal of 131435665650 is 56566534131.

It is a happy number.

131435665650 is a `hidden beast` number, since 1 + 31 + 4 + 3 + 56 + 6 + 565 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 110471811129 + 20963854521 = 332373^2 + 144789^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 131435665596 and 131435665605.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 146039179 + ... + 146040078.

Almost surely, 2131435665650 is an apocalyptic number.

131435665650 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131435665650 is an abundant number, since it is smaller than the sum of its proper divisors (221688157272).

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

131435665650 is a wasteful number, since it uses less digits than its factorization.

131435665650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292079275 (or 292079267 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 45.

The spelling of 131435665650 in words is "one hundred thirty-one billion, four hundred thirty-five million, six hundred sixty-five thousand, six hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 450 292079257 584158514 876237771 1460396285 1752475542 2628713313 2920792570 4381188855 5257426626 7301981425 8762377710 13143566565 14603962850 21905944275 26287133130 43811888550 65717832825 131435665650