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20132431134100 = 22521949103296209
BaseRepresentation
bin1001001001111011100100…
…11001111111110110010100
32122021122022202000011022021
410210331302121333312110
510114322204332242400
6110452413340542524
74145343261053515
oct444756231776624
978248282004267
1020132431134100
1164621305841aa
122311972551a44
13b30631a5544c
144d85b456ca0c
1524da5637071a
hex124f7267fd94

20132431134100 has 36 divisors (see below), whose sum is σ = 43709791261500. Its totient is φ = 8048840527360.

The previous prime is 20132431134089. The next prime is 20132431134143. The reversal of 20132431134100 is 143113423102.

It can be written as a sum of positive squares in 6 ways, for example, as 1229796717444 + 18902634416656 = 1108962^2 + 4347716^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51453205 + ... + 51843004.

It is an arithmetic number, because the mean of its divisors is an integer number (1214160868375).

Almost surely, 220132431134100 is an apocalyptic number.

20132431134100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20132431134100 is an abundant number, since it is smaller than the sum of its proper divisors (23577360127400).

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

20132431134100 is a wasteful number, since it uses less digits than its factorization.

20132431134100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103298172 (or 103298165 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 20132431134100 its reverse (143113423102), we get a palindrome (20275544557202).

The spelling of 20132431134100 in words is "twenty trillion, one hundred thirty-two billion, four hundred thirty-one million, one hundred thirty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1949 3898 7796 9745 19490 38980 48725 97450 194900 103296209 206592418 413184836 516481045 1032962090 2065924180 2582405225 5164810450 10329620900 201324311341 402648622682 805297245364 1006621556705 2013243113410 4026486226820 5033107783525 10066215567050 20132431134100