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12413320320 = 27356465271
BaseRepresentation
bin10111000111110010…
…00011110010000000
31012001002212000020110
423203321003302000
5200410302222240
65411432311320
7616420324152
oct134371036200
935032760213
1012413320320
11529aaa5315
1224a5242540
13122a98b06b
1485a88cad2
154c9bb5c80
hex2e3e43c80

12413320320 has 64 divisors (see below), whose sum is σ = 39567464640. Its totient is φ = 3310218240.

The previous prime is 12413320313. The next prime is 12413320327. The reversal of 12413320320 is 2302331421.

It is an interprime number because it is at equal distance from previous prime (12413320313) and next prime (12413320327).

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (12413320327) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3230716 + ... + 3234555.

It is an arithmetic number, because the mean of its divisors is an integer number (618241635).

Almost surely, 212413320320 is an apocalyptic number.

12413320320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12413320320 is an abundant number, since it is smaller than the sum of its proper divisors (27154144320).

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

12413320320 is an equidigital number, since it uses as much as digits as its factorization.

12413320320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6465293 (or 6465281 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 12413320320 its reverse (2302331421), we get a palindrome (14715651741).

It can be divided in two parts, 124133 and 20320, that added together give a triangular number (144453 = T537).

The spelling of 12413320320 in words is "twelve billion, four hundred thirteen million, three hundred twenty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 6465271 12930542 19395813 25861084 32326355 38791626 51722168 64652710 77583252 96979065 103444336 129305420 155166504 193958130 206888672 258610840 310333008 387916260 413777344 517221680 620666016 775832520 827554688 1034443360 1241332032 1551665040 2068886720 2482664064 3103330080 4137773440 6206660160 12413320320