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130032213300 = 2233521119230431
BaseRepresentation
bin111100100011010000…
…1100001110100110100
3110102122011112211222000
41321012201201310310
54112301221311200
6135422545335300
712252214401453
oct1710641416464
9412564484860
10130032213300
11501678814a0
122124b637530
13c353773062
146417892b9a
1535b0ac8300
hex1e46861d34

130032213300 has 288 divisors, whose sum is σ = 480035942400. Its totient is φ = 29863728000.

The previous prime is 130032213299. The next prime is 130032213317. The reversal of 130032213300 is 3312230031.

130032213300 is a `hidden beast` number, since 1 + 30 + 0 + 322 + 13 + 300 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 449085 + ... + 679515.

Almost surely, 2130032213300 is an apocalyptic number.

130032213300 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 130032213300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240017971200).

130032213300 is an abundant number, since it is smaller than the sum of its proper divisors (350003729100).

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

130032213300 is a wasteful number, since it uses less digits than its factorization.

130032213300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230484 (or 230471 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 130032213300 its reverse (3312230031), we get a palindrome (133344443331).

The spelling of 130032213300 in words is "one hundred thirty billion, thirty-two million, two hundred thirteen thousand, three hundred".