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131404100 = 22522575113
BaseRepresentation
bin1111101010100…
…01000101000100
3100011021000112112
413311101011010
5232114412400
621012240152
73153626222
oct765210504
9304230475
10131404100
11681a0933
1238010058
13212ba909
1413647b12
15b809835
hex7d51144

131404100 has 36 divisors (see below), whose sum is σ = 286312404. Its totient is φ = 52346880.

The previous prime is 131404081. The next prime is 131404103. The reversal of 131404100 is 1404131.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 3125824 + 128278276 = 1768^2 + 11326^2 .

It is not an unprimeable number, because it can be changed into a prime (131404103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23144 + ... + 28256.

Almost surely, 2131404100 is an apocalyptic number.

131404100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131404100 is an abundant number, since it is smaller than the sum of its proper divisors (154908304).

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

131404100 is a wasteful number, since it uses less digits than its factorization.

131404100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5384 (or 5377 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 131404100 is about 11463.1627398376. The cubic root of 131404100 is about 508.3969916396.

Adding to 131404100 its reverse (1404131), we get a palindrome (132808231).

The spelling of 131404100 in words is "one hundred thirty-one million, four hundred four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 257 514 1028 1285 2570 5113 5140 6425 10226 12850 20452 25565 25700 51130 102260 127825 255650 511300 1314041 2628082 5256164 6570205 13140410 26280820 32851025 65702050 131404100