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102332430200 = 235271113511151
BaseRepresentation
bin101111101001101111…
…1001111011101111000
3100210010201112001222102
41133103133033131320
53134034100231300
6115002203042532
710251615206360
oct1372337173570
9323121461872
10102332430200
113a442a97470
12179bab10448
13985aacaa60
144d4ab319a0
1529dddb50d5
hex17d37cf778

102332430200 has 192 divisors, whose sum is σ = 319449553920. Its totient is φ = 29442240000.

The previous prime is 102332430199. The next prime is 102332430227. The reversal of 102332430200 is 2034233201.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55376 + ... + 455775.

It is an arithmetic number, because the mean of its divisors is an integer number (1663799760).

Almost surely, 2102332430200 is an apocalyptic number.

102332430200 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 102332430200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159724776960).

102332430200 is an abundant number, since it is smaller than the sum of its proper divisors (217117123720).

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

102332430200 is a wasteful number, since it uses less digits than its factorization.

102332430200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511198 (or 511189 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 102332430200 its reverse (2034233201), we get a palindrome (104366663401).

The spelling of 102332430200 in words is "one hundred two billion, three hundred thirty-two million, four hundred thirty thousand, two hundred".