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131383505383130 = 257111313125225313
BaseRepresentation
bin11101110111111000011011…
…001010101110111011011010
3122020012010210101110201122202
4131313320123022232323122
5114210041404334230010
61143232425451450202
736450100512344510
oct3567703312567332
9566163711421582
10131383505383130
113895448269a750
121289b006156962
135840546ab7020
142462dd1c824b0
15102c8be5ae6a5
hex777e1b2aeeda

131383505383130 has 64 divisors (see below), whose sum is σ = 317525450796288. Its totient is φ = 37800648898560.

The previous prime is 131383505383127. The next prime is 131383505383171. The reversal of 131383505383130 is 31383505383131.

131383505383130 is digitally balanced in base 3, 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 31 ways as a sum of consecutive naturals, for example, 6562602647 + ... + 6562622666.

It is an arithmetic number, because the mean of its divisors is an integer number (4961335168692).

Almost surely, 2131383505383130 is an apocalyptic number.

131383505383130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131383505383130 is an abundant number, since it is smaller than the sum of its proper divisors (186141945413158).

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

131383505383130 is a wasteful number, since it uses less digits than its factorization.

131383505383130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13125225351.

The product of its (nonzero) digits is 1166400, while the sum is 47.

Subtracting from 131383505383130 its reverse (31383505383131), we obtain a palindrome (99999999999999).

The spelling of 131383505383130 in words is "one hundred thirty-one trillion, three hundred eighty-three billion, five hundred five million, three hundred eighty-three thousand, one hundred thirty".

Divisors: 1 2 5 7 10 11 13 14 22 26 35 55 65 70 77 91 110 130 143 154 182 286 385 455 715 770 910 1001 1430 2002 5005 10010 13125225313 26250450626 65626126565 91876577191 131252253130 144377478443 170627929069 183753154382 288754956886 341255858138 459382885955 721887392215 853139645345 918765771910 1010642349101 1194395503483 1443774784430 1706279290690 1876907219759 2021284698202 2388791006966 3753814439518 5053211745505 5971977517415 9384536098795 10106423491010 11943955034830 13138350538313 18769072197590 26276701076626 65691752691565 131383505383130