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12831020280 = 233251331591499
BaseRepresentation
bin10111111001100100…
…11101010011111000
31020010012211100212100
423330302131103320
5202234220122110
65521113143400
7632651605251
oct137462352370
936105740770
1012831020280
11549485a4a1
1225a10bab60
131296388bc0
1489a13db28
155016c3bc0
hex2fcc9d4f8

12831020280 has 384 divisors, whose sum is σ = 47174400000. Its totient is φ = 3002711040.

The previous prime is 12831020261. The next prime is 12831020291. The reversal of 12831020280 is 8202013821.

12831020280 is a `hidden beast` number, since 1 + 283 + 102 + 0 + 280 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8558971 + ... + 8560469.

It is an arithmetic number, because the mean of its divisors is an integer number (122850000).

Almost surely, 212831020280 is an apocalyptic number.

12831020280 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 12831020280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23587200000).

12831020280 is an abundant number, since it is smaller than the sum of its proper divisors (34343379720).

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

12831020280 is a wasteful number, since it uses less digits than its factorization.

12831020280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1619 (or 1612 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The spelling of 12831020280 in words is "twelve billion, eight hundred thirty-one million, twenty thousand, two hundred eighty".