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12313001220 = 22351316099811
BaseRepresentation
bin10110111011110100…
…10111110100000100
31011210010002021022020
423131322113310010
5200204112014340
65353450203140
7614061532512
oct133572276404
934703067266
1012313001220
115249406073
1224777234b0
131212c65250
1484b4174b2
154c0e9b9d0
hex2dde97d04

12313001220 has 96 divisors (see below), whose sum is σ = 37155296640. Its totient is φ = 3028700160.

The previous prime is 12313001191. The next prime is 12313001227. The reversal of 12313001220 is 2210031321.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12313001220.

It is not an unprimeable number, because it can be changed into a prime (12313001227) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1250115 + ... + 1259925.

It is an arithmetic number, because the mean of its divisors is an integer number (387034340).

Almost surely, 212313001220 is an apocalyptic number.

12313001220 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 12313001220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18577648320).

12313001220 is an abundant number, since it is smaller than the sum of its proper divisors (24842295420).

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

12313001220 is a wasteful number, since it uses less digits than its factorization.

12313001220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11445 (or 11443 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 12313001220 its reverse (2210031321), we get a palindrome (14523032541).

The spelling of 12313001220 in words is "twelve billion, three hundred thirteen million, one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 1609 3218 4827 6436 8045 9654 9811 16090 19308 19622 20917 24135 29433 32180 39244 41834 48270 49055 58866 62751 83668 96540 98110 104585 117732 125502 127543 147165 196220 209170 251004 255086 294330 313755 382629 418340 510172 588660 627510 637715 765258 1255020 1275430 1530516 1913145 2550860 3826290 7652580 15785899 31571798 47357697 63143596 78929495 94715394 157858990 189430788 205216687 236788485 315717980 410433374 473576970 615650061 820866748 947153940 1026083435 1231300122 2052166870 2462600244 3078250305 4104333740 6156500610 12313001220