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12752037100 = 22521197119513
BaseRepresentation
bin10111110000001010…
…01010010011101100
31012220201012121022101
423320011022103230
5202104010141400
65505212224444
7631002345505
oct137005122354
935821177271
1012752037100
115454213240
12257a76b124
131282bc35aa
1488d85dbac
154e97c156a
hex2f814a4ec

12752037100 has 72 divisors (see below), whose sum is σ = 30499016688. Its totient is φ = 4589260800.

The previous prime is 12752037071. The next prime is 12752037139. The reversal of 12752037100 is 173025721.

It is a super-2 number, since 2×127520371002 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46944 + ... + 166456.

It is an arithmetic number, because the mean of its divisors is an integer number (423597454).

Almost surely, 212752037100 is an apocalyptic number.

12752037100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12752037100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15249508344).

12752037100 is an abundant number, since it is smaller than the sum of its proper divisors (17746979588).

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

12752037100 is a wasteful number, since it uses less digits than its factorization.

12752037100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119635 (or 119628 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 28.

The spelling of 12752037100 in words is "twelve billion, seven hundred fifty-two million, thirty-seven thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 97 100 110 194 220 275 388 485 550 970 1067 1100 1940 2134 2425 4268 4850 5335 9700 10670 21340 26675 53350 106700 119513 239026 478052 597565 1195130 1314643 2390260 2629286 2987825 5258572 5975650 6573215 11592761 11951300 13146430 23185522 26292860 32866075 46371044 57963805 65732150 115927610 127520371 131464300 231855220 255040742 289819025 510081484 579638050 637601855 1159276100 1275203710 2550407420 3188009275 6376018550 12752037100