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130131132300 = 2232521322273769
BaseRepresentation
bin111100100110001101…
…0110111111110001100
3110102220001200110022200
41321030122313332030
54113002032213200
6135440441441500
712254525242161
oct1711432677614
9412801613280
10130131132300
11502086a4834
12212787a0290
13c36b0c8800
146426a82068
1535b9617800
hex1e4c6b7f8c

130131132300 has 324 divisors, whose sum is σ = 443741833080. Its totient is φ = 31882705920.

The previous prime is 130131132277. The next prime is 130131132331. The reversal of 130131132300 is 3231131031.

It is a happy number.

130131132300 is a `hidden beast` number, since 1 + 30 + 1 + 311 + 323 + 0 + 0 = 666.

It is a super-2 number, since 2×1301311323002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 34524816 + ... + 34528584.

Almost surely, 2130131132300 is an apocalyptic number.

130131132300 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 130131132300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221870916540).

130131132300 is an abundant number, since it is smaller than the sum of its proper divisors (313610700780).

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

130131132300 is a wasteful number, since it uses less digits than its factorization.

130131132300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4042 (or 4019 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 130131132300 its reverse (3231131031), we get a palindrome (133362263331).

The spelling of 130131132300 in words is "one hundred thirty billion, one hundred thirty-one million, one hundred thirty-two thousand, three hundred".