Search a number
-
+
130532421600 = 253252741181349
BaseRepresentation
bin111100110010001010…
…1101010111111100000
3110110221000210001202100
41321210111222333200
54114312244442400
6135544334450400
712300500163630
oct1714425527740
9413830701670
10130532421600
11503a4170389
122136b063a00
13c40329bbb9
1464640a06c0
1535de983100
hex1e6456afe0

130532421600 has 864 divisors, whose sum is σ = 543405844800. Its totient is φ = 28864512000.

The previous prime is 130532421577. The next prime is 130532421667. The reversal of 130532421600 is 6124235031.

130532421600 is a `hidden beast` number, since 1 + 3 + 0 + 5 + 32 + 4 + 21 + 600 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 374018226 + ... + 374018574.

It is an arithmetic number, because the mean of its divisors is an integer number (628941950).

Almost surely, 2130532421600 is an apocalyptic number.

130532421600 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 130532421600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271702922400).

130532421600 is an abundant number, since it is smaller than the sum of its proper divisors (412873423200).

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

130532421600 is a wasteful number, since it uses less digits than its factorization.

130532421600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 130532421600 its reverse (6124235031), we get a palindrome (136656656631).

The spelling of 130532421600 in words is "one hundred thirty billion, five hundred thirty-two million, four hundred twenty-one thousand, six hundred".