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131405130 = 23253739461
BaseRepresentation
bin1111101010100…
…01010101001010
3100011021001221200
413311101111022
5232114431010
621012245030
73153632223
oct765212512
9304231850
10131405130
11681a168a
1238010776
13212bb21c
141364824a
15b809cc0
hex7d5154a

131405130 has 48 divisors (see below), whose sum is σ = 350896104. Its totient is φ = 34093440.

The previous prime is 131405117. The next prime is 131405137. The reversal of 131405130 is 31504131.

131405130 is a `hidden beast` number, since 13 + 140 + 513 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 117094041 + 14311089 = 10821^2 + 3783^2 .

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

It is not an unprimeable number, because it can be changed into a prime (131405137) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16401 + ... + 23060.

Almost surely, 2131405130 is an apocalyptic number.

131405130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131405130 is an abundant number, since it is smaller than the sum of its proper divisors (219490974).

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

131405130 is a wasteful number, since it uses less digits than its factorization.

131405130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39511 (or 39508 counting only the distinct ones).

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

The square root of 131405130 is about 11463.2076662686. The cubic root of 131405130 is about 508.3983199785.

Adding to 131405130 its reverse (31504131), we get a palindrome (162909261).

Subtracting from 131405130 its reverse (31504131), we obtain a palindrome (99900999).

The spelling of 131405130 in words is "one hundred thirty-one million, four hundred five thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 333 370 555 666 1110 1665 3330 39461 78922 118383 197305 236766 355149 394610 591915 710298 1183830 1460057 1775745 2920114 3551490 4380171 7300285 8760342 13140513 14600570 21900855 26281026 43801710 65702565 131405130