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12611306900 = 2252126113069
BaseRepresentation
bin10111011111011000…
…10100010110010100
31012112220101202202202
423233230110112110
5201311443310100
65443224024032
7624343224413
oct135754242624
935486352682
1012611306900
115391832595
12253b602018
13125c9bba9a
14878ca947a
154dc2737d5
hex2efb14594

12611306900 has 18 divisors (see below), whose sum is σ = 27366536190. Its totient is φ = 5044522720.

The previous prime is 12611306863. The next prime is 12611306927. The reversal of 12611306900 is 960311621.

It can be written as a sum of positive squares in 3 ways, for example, as 4526060176 + 8085246724 = 67276^2 + 89918^2 .

It is a super-2 number, since 2×126113069002 (a number of 21 digits) contains 22 as substring.

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, 63056435 + ... + 63056634.

Almost surely, 212611306900 is an apocalyptic number.

12611306900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12611306900 is an abundant number, since it is smaller than the sum of its proper divisors (14755229290).

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

12611306900 is a wasteful number, since it uses less digits than its factorization.

12611306900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126113083 (or 126113076 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 29.

The spelling of 12611306900 in words is "twelve billion, six hundred eleven million, three hundred six thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 126113069 252226138 504452276 630565345 1261130690 2522261380 3152826725 6305653450 12611306900