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130030010880 = 29357113141173
BaseRepresentation
bin111100100011001100…
…1001000001000000000
3110102122000101221210220
41321012121020020000
54112300140322010
6135422430223040
712252156566430
oct1710631101000
9412560357726
10130030010880
1150166607810
122124a954a80
13c353181753
14641747c2c0
1535b07e0970
hex1e46648200

130030010880 has 1280 divisors, whose sum is σ = 551196721152. Its totient is φ = 25362432000.

The previous prime is 130030010867. The next prime is 130030010917. The reversal of 130030010880 is 88010030031.

130030010880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 130030010880.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 751618474 + ... + 751618646.

Almost surely, 2130030010880 is an apocalyptic number.

130030010880 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 130030010880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275598360576).

130030010880 is an abundant number, since it is smaller than the sum of its proper divisors (421166710272).

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

130030010880 is a wasteful number, since it uses less digits than its factorization.

130030010880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The spelling of 130030010880 in words is "one hundred thirty billion, thirty million, ten thousand, eight hundred eighty".