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123130131132 = 223151515313187
BaseRepresentation
bin111001010101100100…
…0001011001010111100
3102202211011001202012010
41302223020023022330
54004132303144012
6132322030011220
711616164563101
oct1625310131274
9382734052163
10123130131132
1148245826a58
121ba44046b10
13b7c3831c78
145d60d44aa8
153309ba1c3c
hex1cab20b2bc

123130131132 has 48 divisors (see below), whose sum is σ = 289284371712. Its totient is φ = 40760563200.

The previous prime is 123130131127. The next prime is 123130131203. The reversal of 123130131132 is 231131031321.

It is a happy number.

It is a super-2 number, since 2×1231301311322 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 123130131099 and 123130131108.

It is a congruent number.

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, 9330643 + ... + 9343829.

It is an arithmetic number, because the mean of its divisors is an integer number (6026757744).

Almost surely, 2123130131132 is an apocalyptic number.

123130131132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

123130131132 is an abundant number, since it is smaller than the sum of its proper divisors (166154240580).

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

123130131132 is a wasteful number, since it uses less digits than its factorization.

123130131132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18498 (or 18496 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 123130131132 its reverse (231131031321), we get a palindrome (354261162453).

The spelling of 123130131132 in words is "one hundred twenty-three billion, one hundred thirty million, one hundred thirty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 151 302 453 604 906 1812 5153 10306 13187 15459 20612 26374 30918 39561 52748 61836 79122 158244 778103 1556206 1991237 2334309 3112412 3982474 4668618 5973711 7964948 9337236 11947422 23894844 67952611 135905222 203857833 271810444 407715666 815431332 10260844261 20521688522 30782532783 41043377044 61565065566 123130131132