Search a number
-
+
130131159600 = 2435213191273457
BaseRepresentation
bin111100100110001101…
…0111110101000110000
3110102220001201211202210
41321030122332220300
54113002034101400
6135440442212120
712254525414601
oct1711432765060
9412801654683
10130131159600
11502087132a2
12212787b4040
13c36b108070
146426a8bda8
1535b9620950
hex1e4c6bea30

130131159600 has 480 divisors, whose sum is σ = 476405063680. Its totient is φ = 30098718720.

The previous prime is 130131159589. The next prime is 130131159607. The reversal of 130131159600 is 6951131031.

130131159600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (130131159607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37641072 + ... + 37644528.

Almost surely, 2130131159600 is an apocalyptic number.

130131159600 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 130131159600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238202531840).

130131159600 is an abundant number, since it is smaller than the sum of its proper divisors (346273904080).

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

130131159600 is a wasteful number, since it uses less digits than its factorization.

130131159600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3637 (or 3626 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 30.

The spelling of 130131159600 in words is "one hundred thirty billion, one hundred thirty-one million, one hundred fifty-nine thousand, six hundred".