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130122010200 = 2335271331591303
BaseRepresentation
bin111100100101111100…
…0000100111001011000
3110102212102112000011010
41321023320010321120
54112442213311300
6135435514133520
712254354560140
oct1711370047130
9412772460133
10130122010200
1150203534206
12212757212a0
13c369253710
146425789920
1535b8914a50
hex1e4be04e58

130122010200 has 768 divisors, whose sum is σ = 521566617600. Its totient is φ = 26098329600.

The previous prime is 130122010163. The next prime is 130122010211. The reversal of 130122010200 is 2010221031.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 99862749 + ... + 99864051.

It is an arithmetic number, because the mean of its divisors is an integer number (679123200).

Almost surely, 2130122010200 is an apocalyptic number.

130122010200 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 130122010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260783308800).

130122010200 is an abundant number, since it is smaller than the sum of its proper divisors (391444607400).

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

130122010200 is a wasteful number, since it uses less digits than its factorization.

130122010200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1432 (or 1423 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 130122010200 its reverse (2010221031), we get a palindrome (132132231231).

The spelling of 130122010200 in words is "one hundred thirty billion, one hundred twenty-two million, ten thousand, two hundred".