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12110383296 = 26321117293877
BaseRepresentation
bin10110100011101010…
…11100100011000000
31011020222211012202200
423101311130203000
5144300224231141
65321411313200
7606051362634
oct132165344300
934228735680
1012110383296
115154aa5240
12241b8ab800
1311acca249b
1482c552dc4
154ad2c6ab6
hex2d1d5c8c0

12110383296 has 336 divisors, whose sum is σ = 41488705440. Its totient is φ = 3333980160.

The previous prime is 12110383291. The next prime is 12110383301. The reversal of 12110383296 is 69238301121.

It is an interprime number because it is at equal distance from previous prime (12110383291) and next prime (12110383301).

It is a super-2 number, since 2×121103832962 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 12110383296.

It is not an unprimeable number, because it can be changed into a prime (12110383291) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3121710 + ... + 3125586.

It is an arithmetic number, because the mean of its divisors is an integer number (123478290).

Almost surely, 212110383296 is an apocalyptic number.

12110383296 is a gapful number since it is divisible by the number (16) 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 12110383296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20744352720).

12110383296 is an abundant number, since it is smaller than the sum of its proper divisors (29378322144).

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

12110383296 is a wasteful number, since it uses less digits than its factorization.

12110383296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3952 (or 3939 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 12110383296 in words is "twelve billion, one hundred ten million, three hundred eighty-three thousand, two hundred ninety-six".