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10320410880 = 283451321931
BaseRepresentation
bin10011001110010010…
…01111100100000000
3222122020200012020000
421213021033210000
5132114011122010
64424030120000
7513515021313
oct114711174400
928566605200
1010320410880
11441666a49a
122000350000
13c861b3700
146dc92a97a
1540609e7c0
hex26724f900

10320410880 has 1080 divisors, whose sum is σ = 43449880320. Its totient is φ = 2329067520.

The previous prime is 10320410879. The next prime is 10320410923. The reversal of 10320410880 is 8801402301.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 332916465 + ... + 332916495.

Almost surely, 210320410880 is an apocalyptic number.

10320410880 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 10320410880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21724940160).

10320410880 is an abundant number, since it is smaller than the sum of its proper divisors (33129469440).

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

10320410880 is a wasteful number, since it uses less digits than its factorization.

10320410880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 73 counting only the distinct ones).

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

The spelling of 10320410880 in words is "ten billion, three hundred twenty million, four hundred ten thousand, eight hundred eighty".