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12102132100 = 2252294173149
BaseRepresentation
bin10110100010101011…
…11110000110000100
31011020102022000020211
423101111332012010
5144241121211400
65320514405204
7605621265652
oct132125760604
934212260224
1012102132100
115150379a73
122418b90804
1311ab373916
1482b405dd2
154ac6e6dba
hex2d157e184

12102132100 has 36 divisors (see below), whose sum is σ = 27167206500. Its totient is φ = 4673925760.

The previous prime is 12102132089. The next prime is 12102132121. The reversal of 12102132100 is 123120121.

It can be written as a sum of positive squares in 6 ways, for example, as 2114528256 + 9987603844 = 45984^2 + 99938^2 .

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, 2083675 + ... + 2089474.

It is an arithmetic number, because the mean of its divisors is an integer number (754644625).

Almost surely, 212102132100 is an apocalyptic number.

12102132100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12102132100 is an abundant number, since it is smaller than the sum of its proper divisors (15065074400).

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

12102132100 is a wasteful number, since it uses less digits than its factorization.

12102132100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4173192 (or 4173185 counting only the distinct ones).

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

Adding to 12102132100 its reverse (123120121), we get a palindrome (12225252221).

The spelling of 12102132100 in words is "twelve billion, one hundred two million, one hundred thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 580 725 1450 2900 4173149 8346298 16692596 20865745 41731490 83462980 104328725 121021321 208657450 242042642 417314900 484085284 605106605 1210213210 2420426420 3025533025 6051066050 12102132100