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131403512500 = 225513808637
BaseRepresentation
bin111101001100001000…
…0100111101010110100
3110120011201220001211021
41322120100213222310
54123103244400000
6140211013150524
712331205266351
oct1723020475264
9416151801737
10131403512500
1150800947917
122157292b444
13c5118b2cc0
146507a53628
15364119e11a
hex1e98427ab4

131403512500 has 72 divisors (see below), whose sum is σ = 309536922744. Its totient is φ = 48518160000.

The previous prime is 131403512497. The next prime is 131403512533. The reversal of 131403512500 is 5215304131.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 130850039824 + 553472676 = 361732^2 + 23526^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 241819 + ... + 566818.

It is an arithmetic number, because the mean of its divisors is an integer number (4299123927).

Almost surely, 2131403512500 is an apocalyptic number.

131403512500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131403512500 is an abundant number, since it is smaller than the sum of its proper divisors (178133410244).

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

131403512500 is an equidigital number, since it uses as much as digits as its factorization.

131403512500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 808679 (or 808657 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

Adding to 131403512500 its reverse (5215304131), we get a palindrome (136618816631).

The spelling of 131403512500 in words is "one hundred thirty-one billion, four hundred three million, five hundred twelve thousand, five hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 125 130 250 260 325 500 625 650 1250 1300 1625 2500 3125 3250 6250 6500 8125 12500 16250 32500 40625 81250 162500 808637 1617274 3234548 4043185 8086370 10512281 16172740 20215925 21024562 40431850 42049124 52561405 80863700 101079625 105122810 202159250 210245620 262807025 404318500 505398125 525614050 1010796250 1051228100 1314035125 2021592500 2526990625 2628070250 5053981250 5256140500 6570175625 10107962500 13140351250 26280702500 32850878125 65701756250 131403512500