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12344850100 = 22521153211747
BaseRepresentation
bin10110111111100111…
…10111011010110100
31011212100000100202101
423133303313122310
5200240240200400
65400544551444
7614626331422
oct133763673264
934770010671
1012344850100
115265389660
122486322584
13121973693b
14851748112
154c3b8d56a
hex2dfcf76b4

12344850100 has 72 divisors (see below), whose sum is σ = 29775156768. Its totient is φ = 4404316800.

The previous prime is 12344850061. The next prime is 12344850113. The reversal of 12344850100 is 105844321.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47574 + ... + 164173.

It is an arithmetic number, because the mean of its divisors is an integer number (413543844).

Almost surely, 212344850100 is an apocalyptic number.

12344850100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12344850100 is an abundant number, since it is smaller than the sum of its proper divisors (17430306668).

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

12344850100 is a wasteful number, since it uses less digits than its factorization.

12344850100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211825 (or 211818 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The spelling of 12344850100 in words is "twelve billion, three hundred forty-four million, eight hundred fifty thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 53 55 100 106 110 212 220 265 275 530 550 583 1060 1100 1166 1325 2332 2650 2915 5300 5830 11660 14575 29150 58300 211747 423494 846988 1058735 2117470 2329217 4234940 4658434 5293675 9316868 10587350 11222591 11646085 21174700 22445182 23292170 44890364 46584340 56112955 58230425 112225910 116460850 123448501 224451820 232921700 246897002 280564775 493794004 561129550 617242505 1122259100 1234485010 2468970020 3086212525 6172425050 12344850100