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13122431232 = 28317086499
BaseRepresentation
bin11000011100010100…
…00110100100000000
31020212112011120112120
430032022012210000
5203333320244412
610010043124240
7643120553001
oct141612064400
936775146476
1013122431232
1156242a7899
122662813680
13131186a411
148c6b191a8
1551c087b8c
hex30e286900

13122431232 has 36 divisors (see below), whose sum is σ = 34924806000. Its totient is φ = 4374143488.

The previous prime is 13122431207. The next prime is 13122431239. The reversal of 13122431232 is 23213422131.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (13122431239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8542482 + ... + 8544017.

It is an arithmetic number, because the mean of its divisors is an integer number (970133500).

Almost surely, 213122431232 is an apocalyptic number.

13122431232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13122431232 is an abundant number, since it is smaller than the sum of its proper divisors (21802374768).

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

13122431232 is an equidigital number, since it uses as much as digits as its factorization.

13122431232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17086518 (or 17086504 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

Adding to 13122431232 its reverse (23213422131), we get a palindrome (36335853363).

The spelling of 13122431232 in words is "thirteen billion, one hundred twenty-two million, four hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 17086499 34172998 51259497 68345996 102518994 136691992 205037988 273383984 410075976 546767968 820151952 1093535936 1640303904 2187071872 3280607808 4374143744 6561215616 13122431232