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131141324310020 = 22529226105731569
BaseRepresentation
bin11101110100010110111000…
…000011010000011000000100
3122012022222200101001111211022
4131310112320003100120010
5114142104413010410040
61142525254230530312
736423435161240123
oct3564267003203004
9565288611044738
10131141324310020
11388707a57a8a52
1212860098206998
13582375c8acabb
1424553b9a81aba
151026447e246b5
hex7745b80d0604

131141324310020 has 24 divisors (see below), whose sum is σ = 284893221778200. Its totient is φ = 50647683871232.

The previous prime is 131141324310011. The next prime is 131141324310023. The reversal of 131141324310020 is 20013423141131.

It can be written as a sum of positive squares in 4 ways, for example, as 33961318037956 + 97180006272064 = 5827634^2 + 9857992^2 .

It is not an unprimeable number, because it can be changed into a prime (131141324310023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 113052865205 + ... + 113052866364.

It is an arithmetic number, because the mean of its divisors is an integer number (11870550907425).

Almost surely, 2131141324310020 is an apocalyptic number.

131141324310020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131141324310020 is an abundant number, since it is smaller than the sum of its proper divisors (153751897468180).

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

131141324310020 is a wasteful number, since it uses less digits than its factorization.

131141324310020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226105731607 (or 226105731605 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 131141324310020 its reverse (20013423141131), we get a palindrome (151154747451151).

The spelling of 131141324310020 in words is "one hundred thirty-one trillion, one hundred forty-one billion, three hundred twenty-four million, three hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 226105731569 452211463138 904422926276 1130528657845 2261057315690 4522114631380 6557066215501 13114132431002 26228264862004 32785331077505 65570662155010 131141324310020