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13122103103232 = 28325168071999
BaseRepresentation
bin1011111011110011101001…
…0010110100111100000000
31201110110102221000212001020
42332330322102310330000
53204443031343300412
643524113321505440
72523016643014164
oct276747222647400
951413387025036
1013122103103232
1141aa064122462
12157b199942280
137425417a8c66
143351827c4ca4
1517b5090b918c
hexbef3a4b4f00

13122103103232 has 72 divisors (see below), whose sum is σ = 35063070336000. Its totient is φ = 4356607872000.

The previous prime is 13122103103173. The next prime is 13122103103269. The reversal of 13122103103232 is 23230130122131.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 7 ways as a sum of consecutive naturals, for example, 33843232 + ... + 34228767.

It is an arithmetic number, because the mean of its divisors is an integer number (486987088000).

Almost surely, 213122103103232 is an apocalyptic number.

13122103103232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13122103103232 is an abundant number, since it is smaller than the sum of its proper divisors (21940967232768).

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

13122103103232 is an equidigital number, since it uses as much as digits as its factorization.

13122103103232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68072269 (or 68072255 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 13122103103232 its reverse (23230130122131), we get a palindrome (36352233225363).

The spelling of 13122103103232 in words is "thirteen trillion, one hundred twenty-two billion, one hundred three million, one hundred three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 251 256 384 502 753 768 1004 1506 2008 3012 4016 6024 8032 12048 16064 24096 32128 48192 64256 96384 192768 68071999 136143998 204215997 272287996 408431994 544575992 816863988 1089151984 1633727976 2178303968 3267455952 4356607936 6534911904 8713215872 13069823808 17086071749 17426431744 26139647616 34172143498 51258215247 52279295232 68344286996 102516430494 136688573992 205032860988 273377147984 410065721976 546754295968 820131443952 1093508591936 1640262887904 2187017183872 3280525775808 4374034367744 6561051551616 13122103103232