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131544036100 = 2252362692
BaseRepresentation
bin111101010000010100…
…0101011001100000100
3110120112112022101222001
41322200220223030010
54123400233123400
6140232553115044
712334532600221
oct1724050531404
9416475271861
10131544036100
11508731a7324
12215b19b8a84
13c534a44769
14651c592948
15364d6aaa6a
hex1ea0a2b304

131544036100 has 27 divisors (see below), whose sum is σ = 285458428927. Its totient is φ = 52616163680.

The previous prime is 131544036083. The next prime is 131544036179. The reversal of 131544036100 is 1630445131.

The square root of 131544036100 is 362690.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 30999236356 + 100544799744 = 176066^2 + 317088^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3608766 + ... + 3645034.

Almost surely, 2131544036100 is an apocalyptic number.

131544036100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131544036100 is the 362690-th square number.

It is an amenable number.

131544036100 is an abundant number, since it is smaller than the sum of its proper divisors (153914392827).

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

131544036100 is an frugal number, since it uses more digits than its factorization.

131544036100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72552 (or 36276 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The spelling of 131544036100 in words is "one hundred thirty-one billion, five hundred forty-four million, thirty-six thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 36269 72538 145076 181345 362690 725380 906725 1813450 3626900 1315440361 2630880722 5261761444 6577201805 13154403610 26308807220 32886009025 65772018050 131544036100