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130032100122132 = 223134317512575187
BaseRepresentation
bin11101100100001101110101…
…001000110001111000010100
3122001101221120122001110010010
4131210031311020301320110
5114020421220112402012
61140315531103000220
736250336442223405
oct3544156510617024
9561357518043103
10130032100122132
113848333865308a
1212701113299070
135772c88a7b8b0
1424178314c59ac
151007677760c3c
hex764375231e14

130032100122132 has 96 divisors (see below), whose sum is σ = 327941662777344. Its totient is φ = 39863879280000.

The previous prime is 130032100122107. The next prime is 130032100122139. The reversal of 130032100122132 is 231221001230031.

It is a junction number, because it is equal to n+sod(n) for n = 130032100122099 and 130032100122108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130032100122139) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49206643 + ... + 51781829.

It is an arithmetic number, because the mean of its divisors is an integer number (3416058987264).

Almost surely, 2130032100122132 is an apocalyptic number.

130032100122132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

130032100122132 is an abundant number, since it is smaller than the sum of its proper divisors (197909562655212).

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

130032100122132 is a wasteful number, since it uses less digits than its factorization.

130032100122132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2576389 (or 2576387 counting only the distinct ones).

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

Adding to 130032100122132 its reverse (231221001230031), we get a palindrome (361253101352163).

The spelling of 130032100122132 in words is "one hundred thirty trillion, thirty-two billion, one hundred million, one hundred twenty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 431 751 862 1293 1502 1724 2253 2586 3004 4506 5172 5603 9012 9763 11206 16809 19526 22412 29289 33618 39052 58578 67236 117156 323681 647362 971043 1294724 1942086 2575187 3884172 4207853 5150374 7725561 8415706 10300748 12623559 15451122 16831412 25247118 30902244 33477431 50494236 66954862 100432293 133909724 200864586 401729172 1109905597 1933965437 2219811194 3329716791 3867930874 4439622388 5801896311 6659433582 7735861748 11603792622 13318867164 14428772761 23207585244 25141550681 28857545522 43286318283 50283101362 57715091044 75424652043 86572636566 100566202724 150849304086 173145273132 301698608172 833539103347 1667078206694 2500617310041 3334156413388 5001234620082 10002469240164 10836008343511 21672016687022 32508025030533 43344033374044 65016050061066 130032100122132