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131410004311020 = 22355911337050509
BaseRepresentation
bin11101111000010001000110…
…101000000111101111101100
3122020021200012010212201222110
4131320101012220013233230
5114211010142100423040
61143252531135444020
736452026260460161
oct3570210650075754
9566250163781873
10131410004311020
1138964740644456
12128a4180686610
135842baaa28806
1424643c7330068
15102d420b68980
hex778446a07bec

131410004311020 has 48 divisors (see below), whose sum is σ = 367954246487520. Its totient is φ = 35042074062336.

The previous prime is 131410004310941. The next prime is 131410004311037. The reversal of 131410004311020 is 20113400014131.

131410004311020 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14978475 + ... + 22072034.

It is an arithmetic number, because the mean of its divisors is an integer number (7665713468490).

Almost surely, 2131410004311020 is an apocalyptic number.

131410004311020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131410004311020 is an abundant number, since it is smaller than the sum of its proper divisors (236544242176500).

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

131410004311020 is a wasteful number, since it uses less digits than its factorization.

131410004311020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37109634 (or 37109632 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 131410004311020 its reverse (20113400014131), we get a palindrome (151523404325151).

The spelling of 131410004311020 in words is "one hundred thirty-one trillion, four hundred ten billion, four million, three hundred eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 59113 118226 177339 236452 295565 354678 591130 709356 886695 1182260 1773390 3546780 37050509 74101018 111151527 148202036 185252545 222303054 370505090 444606108 555757635 741010180 1111515270 2223030540 2190166738517 4380333477034 6570500215551 8760666954068 10950833692585 13141000431102 21901667385170 26282000862204 32852501077755 43803334770340 65705002155510 131410004311020