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12131302110100 = 2252121313021101
BaseRepresentation
bin1011000010001000100111…
…1100111111001110010100
31120221202000022011101200021
42300202021330333032110
53042224401320010400
641445013201554524
72361312655356145
oct260421174771624
946852008141607
1012131302110100
113957946862588
12143b164645a44
1369cc9128a964
142dd22dd97acc
1516086a23e71a
hexb0889f3f394

12131302110100 has 18 divisors (see below), whose sum is σ = 26324925579134. Its totient is φ = 4852520844000.

The previous prime is 12131302110049. The next prime is 12131302110197. The reversal of 12131302110100 is 101120313121.

It is a happy number.

12131302110100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 2650605412624 + 9480696697476 = 1628068^2 + 3079074^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 60656510451 + ... + 60656510650.

Almost surely, 212131302110100 is an apocalyptic number.

12131302110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12131302110100 is an abundant number, since it is smaller than the sum of its proper divisors (14193623469034).

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

12131302110100 is a wasteful number, since it uses less digits than its factorization.

12131302110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121313021115 (or 121313021108 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 12131302110100 its reverse (101120313121), we get a palindrome (12232422423221).

It can be divided in two parts, 121313021 and 10100, that added together give a palindrome (121323121).

The spelling of 12131302110100 in words is "twelve trillion, one hundred thirty-one billion, three hundred two million, one hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 121313021101 242626042202 485252084404 606565105505 1213130211010 2426260422020 3032825527525 6065651055050 12131302110100