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131010130020100 = 225215119145424961
BaseRepresentation
bin11101110010011100101100…
…010000110000011100000100
3122011212110001012212001102111
4131302130230100300130010
5114132432221241120400
61142345120045550404
736411112103206012
oct3562345420603404
9564773035761374
10131010130020100
11388200a1a73161
121283a783575404
135814282462b56
14244ccd1b318b2
151022d1a3023ba
hex77272c430704

131010130020100 has 72 divisors (see below), whose sum is σ = 287673013748736. Its totient is φ = 51784454400000.

The previous prime is 131010130020089. The next prime is 131010130020127. The reversal of 131010130020100 is 1020031010131.

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, 19828381 + ... + 25596580.

It is an arithmetic number, because the mean of its divisors is an integer number (3995458524288).

Almost surely, 2131010130020100 is an apocalyptic number.

131010130020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131010130020100 is an abundant number, since it is smaller than the sum of its proper divisors (156662883728636).

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

131010130020100 is a wasteful number, since it uses less digits than its factorization.

131010130020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45425317 (or 45425310 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 131010130020100 its reverse (1020031010131), we get a palindrome (132030161030231).

The spelling of 131010130020100 in words is "one hundred thirty-one trillion, ten billion, one hundred thirty million, twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 151 191 302 382 604 755 764 955 1510 1910 3020 3775 3820 4775 7550 9550 15100 19100 28841 57682 115364 144205 288410 576820 721025 1442050 2884100 45424961 90849922 181699844 227124805 454249610 908499220 1135624025 2271248050 4542496100 6859169111 8676167551 13718338222 17352335102 27436676444 34295845555 34704670204 43380837755 68591691110 86761675510 137183382220 171479227775 173523351020 216904188775 342958455550 433808377550 685916911100 867616755100 1310101300201 2620202600402 5240405200804 6550506501005 13101013002010 26202026004020 32752532505025 65505065010050 131010130020100