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12282312700 = 22527672571019
BaseRepresentation
bin10110111000001010…
…10011011111111100
31011200222100010120101
423130011103133330
5200123233001300
65350432330444
7613236635560
oct133405233774
934628303511
1012282312700
115233055359
1224693a3a24
1312097aba68
148473096a0
154bd438b6a
hex2dc1537fc

12282312700 has 144 divisors (see below), whose sum is σ = 31065511680. Its totient is φ = 4128030720.

The previous prime is 12282312619. The next prime is 12282312703. The reversal of 12282312700 is 721328221.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12282312703) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12052791 + ... + 12053809.

It is an arithmetic number, because the mean of its divisors is an integer number (215732720).

Almost surely, 212282312700 is an apocalyptic number.

12282312700 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 12282312700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15532755840).

12282312700 is an abundant number, since it is smaller than the sum of its proper divisors (18783198980).

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

12282312700 is a wasteful number, since it uses less digits than its factorization.

12282312700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1364 (or 1357 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The spelling of 12282312700 in words is "twelve billion, two hundred eighty-two million, three hundred twelve thousand, seven hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 67 70 100 134 140 175 257 268 335 350 469 514 670 700 938 1019 1028 1285 1340 1675 1799 1876 2038 2345 2570 3350 3598 4076 4690 5095 5140 6425 6700 7133 7196 8995 9380 10190 11725 12850 14266 17219 17990 20380 23450 25475 25700 28532 34438 35665 35980 44975 46900 50950 68273 68876 71330 86095 89950 101900 120533 136546 142660 172190 178325 179900 241066 261883 273092 341365 344380 356650 430475 477911 482132 523766 602665 682730 713300 860950 955822 1047532 1205330 1309415 1365460 1706825 1721900 1833181 1911644 2389555 2410660 2618830 3013325 3413650 3666362 4779110 5237660 6026650 6547075 6827300 7332724 9165905 9558220 11947775 12053300 13094150 17546161 18331810 23895550 26188300 35092322 36663620 45829525 47791100 70184644 87730805 91659050 122823127 175461610 183318100 245646254 350923220 438654025 491292508 614115635 877308050 1228231270 1754616100 2456462540 3070578175 6141156350 12282312700