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12347471100 = 22352196313433
BaseRepresentation
bin10110111111111011…
…10111010011111100
31011212111221112002110
423133331313103330
5200241423033400
65401121054020
7614660526006
oct133775672374
934774845073
1012347471100
115266909878
122487187310
13121a143923
14851c2b376
154c4009e50
hex2dff774fc

12347471100 has 144 divisors (see below), whose sum is σ = 37676199680. Its totient is φ = 3113510400.

The previous prime is 12347471083. The next prime is 12347471107. The reversal of 12347471100 is 117474321.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12347471107) 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, 3594984 + ... + 3598416.

Almost surely, 212347471100 is an apocalyptic number.

12347471100 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 12347471100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18838099840).

12347471100 is an abundant number, since it is smaller than the sum of its proper divisors (25328728580).

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

12347471100 is a wasteful number, since it uses less digits than its factorization.

12347471100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4100 (or 4093 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The spelling of 12347471100 in words is "twelve billion, three hundred forty-seven million, four hundred seventy-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 114 150 190 228 285 300 380 475 570 631 950 1140 1262 1425 1893 1900 2524 2850 3155 3433 3786 5700 6310 6866 7572 9465 10299 11989 12620 13732 15775 17165 18930 20598 23978 31550 34330 35967 37860 41196 47325 47956 51495 59945 63100 65227 68660 71934 85825 94650 102990 119890 130454 143868 171650 179835 189300 195681 205980 239780 257475 260908 299725 326135 343300 359670 391362 514950 599450 652270 719340 782724 899175 978405 1029900 1198900 1304540 1630675 1798350 1956810 2166223 3261350 3596700 3913620 4332446 4892025 6498669 6522700 8664892 9784050 10831115 12997338 19568100 21662230 25994676 32493345 41158237 43324460 54155575 64986690 82316474 108311150 123474711 129973380 162466725 164632948 205791185 216622300 246949422 324933450 411582370 493898844 617373555 649866900 823164740 1028955925 1234747110 2057911850 2469494220 3086867775 4115823700 6173735550 12347471100