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131002222013130 = 235132074916188883
BaseRepresentation
bin11101110010010101010100…
…111010000110101011001010
3122011211200122002112200020110
4131302111110322012223022
5114132320022313410010
61142341331233535150
736410412120232056
oct3562252472065312
9564750562480213
10131002222013130
1138817804118506
12128391371144b6
1358135c1cbbba0
14244c781772c66
151022a05e29120
hex772554e86aca

131002222013130 has 64 divisors (see below), whose sum is σ = 338606697744000. Its totient is φ = 32245144678656.

The previous prime is 131002222013123. The next prime is 131002222013171. The reversal of 131002222013130 is 31310222200131.

131002222013130 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 131002222013097 and 131002222013106.

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, 2332 + ... + 16186551.

It is an arithmetic number, because the mean of its divisors is an integer number (5290729652250).

Almost surely, 2131002222013130 is an apocalyptic number.

131002222013130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131002222013130 is an abundant number, since it is smaller than the sum of its proper divisors (207604475730870).

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

131002222013130 is a wasteful number, since it uses less digits than its factorization.

131002222013130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16209655.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 131002222013130 its reverse (31310222200131), we get a palindrome (162312444213261).

The spelling of 131002222013130 in words is "one hundred thirty-one trillion, two billion, two hundred twenty-two million, thirteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 390 20749 41498 62247 103745 124494 207490 269737 311235 539474 622470 809211 1348685 1618422 2697370 4046055 8092110 16188883 32377766 48566649 80944415 97133298 161888830 210455479 242833245 420910958 485666490 631366437 1052277395 1262732874 2104554790 3156832185 6313664370 335903133367 671806266734 1007709400101 1679515666835 2015418800202 3359031333670 4366740733771 5038547000505 8733481467542 10077094001010 13100222201313 21833703668855 26200444402626 43667407337710 65501111006565 131002222013130