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131045355 = 32572103577
BaseRepresentation
bin1111100111110…
…01011111101011
3100010120210102200
413303321133223
5232021422410
621000431243
73150603300
oct763713753
9303523380
10131045355
1167a76351
1237a78523
13211c353c
14135930a7
15b7883c0
hex7cf97eb

131045355 has 72 divisors (see below), whose sum is σ = 267257952. Its totient is φ = 59222016.

The previous prime is 131045311. The next prime is 131045357. The reversal of 131045355 is 553540131.

It is not a de Polignac number, because 131045355 - 215 = 131012587 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131045357) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 226827 + ... + 227403.

It is an arithmetic number, because the mean of its divisors is an integer number (3711916).

Almost surely, 2131045355 is an apocalyptic number.

131045355 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

131045355 is an abundant number, since it is smaller than the sum of its proper divisors (136212597).

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

131045355 is a wasteful number, since it uses less digits than its factorization.

131045355 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 131045355 is about 11447.5043131680. The cubic root of 131045355 is about 507.9339134793.

Adding to 131045355 its reverse (553540131), we get a palindrome (684585486).

It can be divided in two parts, 1310 and 45355, that added together give a triangular number (46665 = T305).

The spelling of 131045355 in words is "one hundred thirty-one million, forty-five thousand, three hundred fifty-five".

Divisors: 1 3 5 7 9 15 21 35 45 49 63 103 105 147 245 309 315 441 515 577 721 735 927 1545 1731 2163 2205 2885 3605 4039 4635 5047 5193 6489 8655 10815 12117 15141 20195 25235 25965 28273 32445 36351 45423 59431 60585 75705 84819 141365 178293 181755 227115 254457 297155 416017 424095 534879 891465 1248051 1272285 2080085 2674395 2912119 3744153 6240255 8736357 14560595 18720765 26209071 43681785 131045355