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102332210000 = 245410233221
BaseRepresentation
bin101111101001101111…
…0011001101101010000
3100210010201002212220212
41133103132121231100
53134034021210000
6115002154223252
710251613301366
oct1372336315520
9323121085825
10102332210000
113a442956a89
12179baa24b28
13985aa51767
144d4aab5636
1529ddd6ec35
hex17d3799b50

102332210000 has 50 divisors (see below), whose sum is σ = 247756537842. Its totient is φ = 40932880000.

The previous prime is 102332209981. The next prime is 102332210017. The reversal of 102332210000 is 12233201.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 12603205696 + 89729004304 = 112264^2 + 299548^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 5106611 + ... + 5126610.

Almost surely, 2102332210000 is an apocalyptic number.

102332210000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102332210000 is an abundant number, since it is smaller than the sum of its proper divisors (145424327842).

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

102332210000 is an equidigital number, since it uses as much as digits as its factorization.

102332210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10233249 (or 10233228 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 102332210000 its reverse (12233201), we get a palindrome (102344443201).

The spelling of 102332210000 in words is "one hundred two billion, three hundred thirty-two million, two hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000 10233221 20466442 40932884 51166105 81865768 102332210 163731536 204664420 255830525 409328840 511661050 818657680 1023322100 1279152625 2046644200 2558305250 4093288400 5116610500 6395763125 10233221000 12791526250 20466442000 25583052500 51166105000 102332210000