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131010110000020 = 22536592886762017
BaseRepresentation
bin11101110010011100101011…
…000100011000101110010100
3122011212102222211011221001001
4131302130223010120232110
5114132432201130000040
61142345114052513044
736411111441064306
oct3562345304305624
9564772884157031
10131010110000020
1138820091739839
121283a77891b784
13581427b273554
14244cccd1dd976
151022d1869a59a
hex77272b118b94

131010110000020 has 48 divisors (see below), whose sum is σ = 275210392121280. Its totient is φ = 52387062441984.

The previous prime is 131010110000009. The next prime is 131010110000023. The reversal of 131010110000020 is 20000011010131.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 131010109999961 and 131010110000006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131010110000023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2112456052 + ... + 2112518068.

It is an arithmetic number, because the mean of its divisors is an integer number (5733549835860).

Almost surely, 2131010110000020 is an apocalyptic number.

131010110000020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131010110000020 is an abundant number, since it is smaller than the sum of its proper divisors (144200282121260).

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

131010110000020 is a wasteful number, since it uses less digits than its factorization.

131010110000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94552 (or 94550 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 131010110000020 its reverse (20000011010131), we get a palindrome (151010121010151).

The spelling of 131010110000020 in words is "one hundred thirty-one trillion, ten billion, one hundred ten million, twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 3659 7318 14636 18295 28867 36590 57734 62017 73180 115468 124034 144335 248068 288670 310085 577340 620170 1240340 105624353 211248706 226920203 422497412 453840406 528121765 907680812 1056243530 1134601015 1790244739 2112487060 2269202030 3580489478 4538404060 7160978956 8951223695 17902447390 35804894780 6550505500001 13101011000002 26202022000004 32752527500005 65505055000010 131010110000020