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130012342200 = 2332521322571663
BaseRepresentation
bin111100100010101010…
…1101110011110111000
3110102120210011021221100
41321011111232132320
54112231124422300
6135420555411400
712251553450306
oct1710525563670
9412523137840
10130012342200
1150157639aa4
1221244a53b60
13c34c606500
146414d9d276
1535adea0700
hex1e4556e7b8

130012342200 has 432 divisors, whose sum is σ = 474919960320. Its totient is φ = 31859343360.

The previous prime is 130012342199. The next prime is 130012342223. The reversal of 130012342200 is 2243210031.

130012342200 is a `hidden beast` number, since 1 + 300 + 1 + 2 + 342 + 20 + 0 = 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 polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 78178569 + ... + 78180231.

It is an arithmetic number, because the mean of its divisors is an integer number (1099351760).

Almost surely, 2130012342200 is an apocalyptic number.

130012342200 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 130012342200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237459980160).

130012342200 is an abundant number, since it is smaller than the sum of its proper divisors (344907618120).

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

130012342200 is a wasteful number, since it uses less digits than its factorization.

130012342200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1968 (or 1943 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 130012342200 its reverse (2243210031), we get a palindrome (132255552231).

The spelling of 130012342200 in words is "one hundred thirty billion, twelve million, three hundred forty-two thousand, two hundred".