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131243900176 = 24412474
BaseRepresentation
bin111101000111010111…
…1101111110100010000
3110112202121112220212201
41322032233233310100
54122241414301201
6140143112132544
712324226513324
oct1721657576420
9415677486781
10131243900176
115072983a804
1221529397154
13c4b77c9b3c
1464d0785984
153632171801
hex1e8ebefd10

131243900176 has 75 divisors (see below), whose sum is σ = 266304452293. Its totient is φ = 62659256960.

The previous prime is 131243900171. The next prime is 131243900189. The reversal of 131243900176 is 671009342131.

The square root of 131243900176 is 362276.

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

It can be written as a sum of positive squares in only one way, i.e., 6324066576 + 124919833600 = 79524^2 + 353440^2 .

It is a super-2 number, since 2×1312439001762 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131243900171) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 2792423385 + ... + 2792423431.

Almost surely, 2131243900176 is an apocalyptic number.

131243900176 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

131243900176 is the 362276-th square number.

It is an amenable number.

131243900176 is an abundant number, since it is smaller than the sum of its proper divisors (135060552117).

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

131243900176 is an frugal number, since it uses more digits than its factorization.

131243900176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 37.

The spelling of 131243900176 in words is "one hundred thirty-one billion, two hundred forty-three million, nine hundred thousand, one hundred seventy-six".

Divisors: 1 2 4 8 16 41 47 82 94 164 188 328 376 656 752 1681 1927 2209 3362 3854 4418 6724 7708 8836 13448 15416 17672 26896 30832 35344 79007 90569 103823 158014 181138 207646 316028 362276 415292 632056 724552 830584 1264112 1449104 1661168 3713329 4256743 4879681 7426658 8513486 9759362 14853316 17026972 19518724 29706632 34053944 39037448 59413264 68107888 78074896 174526463 200066921 349052926 400133842 698105852 800267684 1396211704 1600535368 2792423408 3201070736 8202743761 16405487522 32810975044 65621950088 131243900176