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13220112320 = 26544393257
BaseRepresentation
bin11000100111111101…
…01110011111000000
31021010022222021210122
430103332232133000
5204033322043240
610023452515412
7645415046342
oct142376563700
937108867718
1013220112320
115674455068
12268b47bb68
131328b7b58c
148d5aa5292
155259304b5
hex313fae7c0

13220112320 has 56 divisors (see below), whose sum is σ = 31551792624. Its totient is φ = 5276051456.

The previous prime is 13220112319. The next prime is 13220112349. The reversal of 13220112320 is 2321102231.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 95132 + ... + 188388.

Almost surely, 213220112320 is an apocalyptic number.

13220112320 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 13220112320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15775896312).

13220112320 is an abundant number, since it is smaller than the sum of its proper divisors (18331680304).

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

13220112320 is an equidigital number, since it uses as much as digits as its factorization.

13220112320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93717 (or 93707 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 13220112320 its reverse (2321102231), we get a palindrome (15541214551).

The spelling of 13220112320 in words is "thirteen billion, two hundred twenty million, one hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 443 886 1772 2215 3544 4430 7088 8860 14176 17720 28352 35440 70880 93257 141760 186514 373028 466285 746056 932570 1492112 1865140 2984224 3730280 5968448 7460560 14921120 29842240 41312851 82625702 165251404 206564255 330502808 413128510 661005616 826257020 1322011232 1652514040 2644022464 3305028080 6610056160 13220112320