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12131503296 = 26311311271459
BaseRepresentation
bin10110100110001100…
…00000110011000000
31011022110120012221220
423103012000303000
5144321131101141
65323444115040
7606426035163
oct132306006300
934273505856
1012131503296
115165a0aa90
122426995a80
1311b4488623
1483128dada
154b0099766
hex2d3180cc0

12131503296 has 224 divisors, whose sum is σ = 36455055360. Its totient is φ = 3527193600.

The previous prime is 12131503217. The next prime is 12131503309. The reversal of 12131503296 is 69230513121.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8314215 + ... + 8315673.

Almost surely, 212131503296 is an apocalyptic number.

12131503296 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 12131503296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18227527680).

12131503296 is an abundant number, since it is smaller than the sum of its proper divisors (24323552064).

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

12131503296 is a wasteful number, since it uses less digits than its factorization.

12131503296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1643 (or 1633 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The spelling of 12131503296 in words is "twelve billion, one hundred thirty-one million, five hundred three thousand, two hundred ninety-six".