Search a number
-
+
130394880000 = 21133547311
BaseRepresentation
bin111100101110000100…
…0111111100000000000
3110110120102222020011000
41321130020333200000
54114022042130000
6135522542452000
712264210123000
oct1713410774000
9413512866130
10130394880000
1150333568340
1221330b94000
13c3b0942838
14644dada000
1535d2865000
hex1e5c23f800

130394880000 has 1920 divisors, whose sum is σ = 614053440000. Its totient is φ = 27095040000.

The previous prime is 130394879987. The next prime is 130394880023. The reversal of 130394880000 is 88493031.

It is a tau number, because it is divible by the number of its divisors (1920).

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 159 ways as a sum of consecutive naturals, for example, 11854079995 + ... + 11854080005.

It is an arithmetic number, because the mean of its divisors is an integer number (319819500).

Almost surely, 2130394880000 is an apocalyptic number.

130394880000 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 130394880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307026720000).

130394880000 is an abundant number, since it is smaller than the sum of its proper divisors (483658560000).

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

130394880000 is an frugal number, since it uses more digits than its factorization.

130394880000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 28 counting only the distinct ones).

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

The spelling of 130394880000 in words is "one hundred thirty billion, three hundred ninety-four million, eight hundred eighty thousand".