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12132102100 = 2252235274827
BaseRepresentation
bin10110100110010000…
…10010111111010100
31011022111200122100211
423103020102333110
5144321304231400
65323505015204
7606434111026
oct132310227724
934274618324
1012132102100
115166289968
122427024504
1311b4638051
148313a8016
154b0166dba
hex2d3212fd4

12132102100 has 36 divisors (see below), whose sum is σ = 27471304224. Its totient is φ = 4641846880.

The previous prime is 12132102023. The next prime is 12132102109. The reversal of 12132102100 is 120123121.

12132102100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12132102109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2635114 + ... + 2639713.

It is an arithmetic number, because the mean of its divisors is an integer number (763091784).

Almost surely, 212132102100 is an apocalyptic number.

12132102100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12132102100 is an abundant number, since it is smaller than the sum of its proper divisors (15339202124).

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

12132102100 is a wasteful number, since it uses less digits than its factorization.

12132102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5274864 (or 5274857 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 12132102100 its reverse (120123121), we get a palindrome (12252225221).

The spelling of 12132102100 in words is "twelve billion, one hundred thirty-two million, one hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 230 460 575 1150 2300 5274827 10549654 21099308 26374135 52748270 105496540 121321021 131870675 242642042 263741350 485284084 527482700 606605105 1213210210 2426420420 3033025525 6066051050 12132102100