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12331332104 = 23713167101429
BaseRepresentation
bin10110111110000000…
…10011001000001000
31011211101120120112212
423133000103020020
5200223310111404
65355343124252
7614403410360
oct133700231010
934741516485
1012331332104
115258796363
1224818a3688
1312169b2a20
1484da299a0
154c28bd06e
hex2df013208

12331332104 has 64 divisors (see below), whose sum is σ = 28627603200. Its totient is φ = 4849069824.

The previous prime is 12331332103. The next prime is 12331332119. The reversal of 12331332104 is 40123313321.

It is a self number, because there is not a number n which added to its sum of digits gives 12331332104.

It is not an unprimeable number, because it can be changed into a prime (12331332103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70862 + ... + 172290.

It is an arithmetic number, because the mean of its divisors is an integer number (447306300).

Almost surely, 212331332104 is an apocalyptic number.

12331332104 is a gapful number since it is divisible by the number (14) 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 12331332104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14313801600).

12331332104 is an abundant number, since it is smaller than the sum of its proper divisors (16296271096).

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

12331332104 is a wasteful number, since it uses less digits than its factorization.

12331332104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101622 (or 101618 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 12331332104 its reverse (40123313321), we get a palindrome (52454645425).

The spelling of 12331332104 in words is "twelve billion, three hundred thirty-one million, three hundred thirty-two thousand, one hundred four".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 167 182 334 364 668 728 1169 1336 2171 2338 4342 4676 8684 9352 15197 17368 30394 60788 101429 121576 202858 405716 710003 811432 1318577 1420006 2637154 2840012 5274308 5680024 9230039 10548616 16938643 18460078 33877286 36920156 67754572 73840312 118570501 135509144 220202359 237141002 440404718 474282004 880809436 948564008 1541416513 1761618872 3082833026 6165666052 12331332104