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232101200000 = 2755836991
BaseRepresentation
bin1101100000101001001…
…1110100000010000000
3211012002112100121101202
43120022103310002000
512300320401400000
6254343102120332
722524453435245
oct3301223640200
9735075317352
10232101200000
118a48509295a
1238b962800a8
1318b6bb02387
14b33b6095cc
1560867a0dd5
hex360a4f4080

232101200000 has 192 divisors, whose sum is σ = 584996307840. Its totient is φ = 91708800000.

The previous prime is 232101199999. The next prime is 232101200011. The reversal of 232101200000 is 2101232.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33196505 + ... + 33203495.

It is an arithmetic number, because the mean of its divisors is an integer number (3046855770).

Almost surely, 2232101200000 is an apocalyptic number.

232101200000 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 232101200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292498153920).

232101200000 is an abundant number, since it is smaller than the sum of its proper divisors (352895107840).

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

232101200000 is an frugal number, since it uses more digits than its factorization.

232101200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7113 (or 7081 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 232101200000 its reverse (2101232), we get a palindrome (232103301232).

The spelling of 232101200000 in words is "two hundred thirty-two billion, one hundred one million, two hundred thousand".