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131504130 = 232519531451
BaseRepresentation
bin1111101011010…
…01100000000010
3100011110002202100
413311221200002
5232131113010
621014331230
73154523652
oct765514002
9304402670
10131504130
1168259aaa
1238059b16
13213242c4
1413672362
15b8292c0
hex7d69802

131504130 has 96 divisors (see below), whose sum is σ = 366949440. Its totient is φ = 32572800.

The previous prime is 131504099. The next prime is 131504159. The reversal of 131504130 is 31405131.

131504130 is a `hidden beast` number, since 1 + 31 + 504 + 130 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 89905 + ... + 91355.

It is an arithmetic number, because the mean of its divisors is an integer number (3822390).

Almost surely, 2131504130 is an apocalyptic number.

131504130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131504130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183474720).

131504130 is an abundant number, since it is smaller than the sum of its proper divisors (235445310).

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

131504130 is a wasteful number, since it uses less digits than its factorization.

131504130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1536 (or 1533 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 131504130 is about 11467.5250163233. The cubic root of 131504130 is about 508.5259628875.

Adding to 131504130 its reverse (31405131), we get a palindrome (162909261).

The spelling of 131504130 in words is "one hundred thirty-one million, five hundred four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 53 57 90 95 106 114 159 171 190 265 285 318 342 477 530 570 795 855 954 1007 1451 1590 1710 2014 2385 2902 3021 4353 4770 5035 6042 7255 8706 9063 10070 13059 14510 15105 18126 21765 26118 27569 30210 43530 45315 55138 65295 76903 82707 90630 130590 137845 153806 165414 230709 248121 275690 384515 413535 461418 496242 692127 769030 827070 1153545 1240605 1384254 1461157 2307090 2481210 2922314 3460635 4383471 6921270 7305785 8766942 13150413 14611570 21917355 26300826 43834710 65752065 131504130