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12312982260 = 22335531093947
BaseRepresentation
bin10110111011110100…
…10011001011110100
31011210010001022022000
423131322103023310
5200204110413020
65353445535300
7614061423315
oct133572231364
934703038260
1012312982260
1152493a28a7
122477714530
131212c59727
1484b41060c
154c0e96090
hex2dde932f4

12312982260 has 192 divisors, whose sum is σ = 39397881600. Its totient is φ = 3191145984.

The previous prime is 12312982247. The next prime is 12312982273. The reversal of 12312982260 is 6228921321.

It is a happy number.

12312982260 is a `hidden beast` number, since 1 + 2 + 312 + 9 + 82 + 260 = 666.

It is an interprime number because it is at equal distance from previous prime (12312982247) and next prime (12312982273).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3117607 + ... + 3121553.

It is an arithmetic number, because the mean of its divisors is an integer number (205197300).

Almost surely, 212312982260 is an apocalyptic number.

12312982260 is a gapful number since it is divisible by the number (10) 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 12312982260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19698940800).

12312982260 is an abundant number, since it is smaller than the sum of its proper divisors (27084899340).

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

12312982260 is a wasteful number, since it uses less digits than its factorization.

12312982260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4127 (or 4119 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 12312982260 in words is "twelve billion, three hundred twelve million, nine hundred eighty-two thousand, two hundred sixty".