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232120120200 = 2335210322316843
BaseRepresentation
bin1101100000101101101…
…1111111001110001000
3211012010211221212000220
43120023123333032020
512300340222321300
6254345015430040
722525103316213
oct3301333771610
9735124855026
10232120120200
118a494835991
1238ba0685320
1318b729c8167
14b33dd3277a
15608828bda0
hex360b6ff388

232120120200 has 192 divisors, whose sum is σ = 729859952640. Its totient is φ = 61019239680.

The previous prime is 232120120163. The next prime is 232120120207. The reversal of 232120120200 is 2021021232.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 232120120200.

It is not an unprimeable number, because it can be changed into a prime (232120120207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13772979 + ... + 13789821.

It is an arithmetic number, because the mean of its divisors is an integer number (3801353920).

Almost surely, 2232120120200 is an apocalyptic number.

232120120200 is a gapful number since it is divisible by the number (20) 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 232120120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364929976320).

232120120200 is an abundant number, since it is smaller than the sum of its proper divisors (497739832440).

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

232120120200 is a wasteful number, since it uses less digits than its factorization.

232120120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17188 (or 17179 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 232120120200 its reverse (2021021232), we get a palindrome (234141141432).

The spelling of 232120120200 in words is "two hundred thirty-two billion, one hundred twenty million, one hundred twenty thousand, two hundred".