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12313311200300 = 225211593127914759
BaseRepresentation
bin1011001100101110101010…
…0010100100010000101100
31121121010210211101011120002
42303023222202210100230
53103220130131402200
642104353532243432
72410415221201115
oct263135242442054
947533724334502
1012313311200300
113a1805618a990
12146a49b010578
136b41a920cc76
14307d7893720c
1516546e003bd5
hexb32ea8a442c

12313311200300 has 144 divisors (see below), whose sum is σ = 29222929612800. Its totient is φ = 4466219443200.

The previous prime is 12313311200273. The next prime is 12313311200327. The reversal of 12313311200300 is 300211331321.

It is an interprime number because it is at equal distance from previous prime (12313311200273) and next prime (12313311200327).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 834284321 + ... + 834299079.

It is an arithmetic number, because the mean of its divisors is an integer number (202937011200).

Almost surely, 212313311200300 is an apocalyptic number.

12313311200300 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 12313311200300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14611464806400).

12313311200300 is an abundant number, since it is smaller than the sum of its proper divisors (16909618412500).

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

12313311200300 is a wasteful number, since it uses less digits than its factorization.

12313311200300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16656 (or 16649 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 12313311200300 its reverse (300211331321), we get a palindrome (12613522531621).

The spelling of 12313311200300 in words is "twelve trillion, three hundred thirteen billion, three hundred eleven million, two hundred thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 593 1100 1186 1279 2372 2558 2965 5116 5930 6395 6523 11860 12790 13046 14069 14759 14825 25580 26092 28138 29518 29650 31975 32615 56276 59036 59300 63950 65230 70345 73795 127900 130460 140690 147590 162349 163075 281380 295180 324698 326150 351725 368975 649396 652300 703450 737950 758447 811745 1406900 1475900 1516894 1623490 3033788 3246980 3792235 4058725 7584470 8117450 8342917 8752087 15168940 16234900 16685834 17504174 18876761 18961175 33371668 35008348 37753522 37922350 41714585 43760435 75507044 75844700 83429170 87520870 94383805 96272957 166858340 175041740 188767610 192545914 207644371 208572925 218802175 377535220 385091828 415288742 417145850 437604350 471919025 481364785 830577484 834291700 875208700 943838050 962729570 1038221855 1887676100 1925459140 2076443710 2406823925 4152887420 4813647850 5191109275 9627295700 10382218550 11193919273 20764437100 22387838546 44775677092 55969596365 111939192730 123133112003 223878385460 246266224006 279847981825 492532448012 559695963650 615665560015 1119391927300 1231331120030 2462662240060 3078327800075 6156655600150 12313311200300