Search a number
-
+
130917696000 = 2935371359127
BaseRepresentation
bin111100111101101001…
…1011000001000000000
3110111220212202000212120
41321323103120020000
54121104412233000
6140050500324240
712313156024620
oct1717323301000
9414825660776
10130917696000
1150581698783
12214580a3680
13c465055a10
14649d310880
1536136d86a0
hex1e7b4d8200

130917696000 has 1280 divisors, whose sum is σ = 549084856320. Its totient is φ = 26940211200.

The previous prime is 130917695989. The next prime is 130917696001. The reversal of 130917696000 is 696719031.

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 (42).

It is not an unprimeable number, because it can be changed into a prime (130917696001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1030847937 + ... + 1030848063.

It is an arithmetic number, because the mean of its divisors is an integer number (428972544).

Almost surely, 2130917696000 is an apocalyptic number.

130917696000 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 130917696000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274542428160).

130917696000 is an abundant number, since it is smaller than the sum of its proper divisors (418167160320).

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

130917696000 is a wasteful number, since it uses less digits than its factorization.

130917696000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 61236, while the sum is 42.

The spelling of 130917696000 in words is "one hundred thirty billion, nine hundred seventeen million, six hundred ninety-six thousand".