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12108880100 = 2252281430921
BaseRepresentation
bin10110100011011111…
…01101100011100100
31011020212222211202202
423101233231203210
5144244333130400
65321315154032
7606032532302
oct132157554344
934225884682
1012108880100
115154168929
12241b2a5918
1311ac897215
1482c281272
154ad0cb4d5
hex2d1bed8e4

12108880100 has 36 divisors (see below), whose sum is σ = 26369840868. Its totient is φ = 4826304000.

The previous prime is 12108880079. The next prime is 12108880117. The reversal of 12108880100 is 108880121.

It can be written as a sum of positive squares in 6 ways, for example, as 13719616 + 12095160484 = 3704^2 + 109978^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 187361 + ... + 243560.

Almost surely, 212108880100 is an apocalyptic number.

12108880100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12108880100 is an abundant number, since it is smaller than the sum of its proper divisors (14260960768).

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

12108880100 is a wasteful number, since it uses less digits than its factorization.

12108880100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431216 (or 431209 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 29.

The spelling of 12108880100 in words is "twelve billion, one hundred eight million, eight hundred eighty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 281 562 1124 1405 2810 5620 7025 14050 28100 430921 861842 1723684 2154605 4309210 8618420 10773025 21546050 43092100 121088801 242177602 484355204 605444005 1210888010 2421776020 3027220025 6054440050 12108880100