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12384634100 = 22521796831013
BaseRepresentation
bin10111000100010111…
…01000010011110100
31011222002212121010212
423202023220103310
5200330431242400
65404525404552
7615621436646
oct134213502364
934862777125
1012384634100
1152858919a3
122497709758
131224a56077
14856b42896
154c73eb335
hex2e22e84f4

12384634100 has 72 divisors (see below), whose sum is σ = 27091078560. Its totient is φ = 4914110080.

The previous prime is 12384634081. The next prime is 12384634123. The reversal of 12384634100 is 143648321.

It is a congruent number.

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, 12225194 + ... + 12226206.

It is an arithmetic number, because the mean of its divisors is an integer number (376264980).

Almost surely, 212384634100 is an apocalyptic number.

12384634100 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 12384634100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13545539280).

12384634100 is an abundant number, since it is smaller than the sum of its proper divisors (14706444460).

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

12384634100 is a wasteful number, since it uses less digits than its factorization.

12384634100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1889 (or 1882 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The spelling of 12384634100 in words is "twelve billion, three hundred eighty-four million, six hundred thirty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 179 358 683 716 895 1013 1366 1790 2026 2732 3415 3580 4052 4475 5065 6830 8950 10130 13660 17075 17900 20260 25325 34150 50650 68300 101300 122257 181327 244514 362654 489028 611285 691879 725308 906635 1222570 1383758 1813270 2445140 2767516 3056425 3459395 3626540 4533175 6112850 6918790 9066350 12225700 13837580 17296975 18132700 34593950 69187900 123846341 247692682 495385364 619231705 1238463410 2476926820 3096158525 6192317050 12384634100