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23271300800 = 2652112711693
BaseRepresentation
bin10101101011000100…
…111101111011000000
32020001211001120022122
4111223010331323000
5340124423111200
614405104423412
71452453536006
oct255304757300
966054046278
1023271300800
119962051800
124615617b68
13226b34c097
1411aa950a76
15913050385
hex56b13dec0

23271300800 has 252 divisors, whose sum is σ = 63865006128. Its totient is φ = 8338176000.

The previous prime is 23271300797. The next prime is 23271300841. The reversal of 23271300800 is 800317232.

It is a self number, because there is not a number n which added to its sum of digits gives 23271300800.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13744754 + ... + 13746446.

It is an arithmetic number, because the mean of its divisors is an integer number (253432564).

Almost surely, 223271300800 is an apocalyptic number.

23271300800 is a gapful number since it is divisible by the number (20) 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 23271300800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31932503064).

23271300800 is an abundant number, since it is smaller than the sum of its proper divisors (40593705328).

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

23271300800 is a wasteful number, since it uses less digits than its factorization.

23271300800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1808 (or 1782 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The spelling of 23271300800 in words is "twenty-three billion, two hundred seventy-one million, three hundred thousand, eight hundred".