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102332310000 = 2435441271307
BaseRepresentation
bin101111101001101111…
…0110010000111110000
3100210010201021222002120
41133103132302013300
53134034032410000
6115002200314240
710251614166054
oct1372336620760
9323121258076
10102332310000
113a442a15128
12179baa72980
13985aa8812b
144d4aaddc64
1529ddd8e6a0
hex17d37b21f0

102332310000 has 400 divisors, whose sum is σ = 340754523648. Its totient is φ = 26438400000.

The previous prime is 102332309957. The next prime is 102332310013. The reversal of 102332310000 is 13233201.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×1023323100002 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 333329847 + ... + 333330153.

Almost surely, 2102332310000 is an apocalyptic number.

102332310000 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 102332310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170377261824).

102332310000 is an abundant number, since it is smaller than the sum of its proper divisors (238422213648).

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

102332310000 is a wasteful number, since it uses less digits than its factorization.

102332310000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 102332310000 its reverse (13233201), we get a palindrome (102345543201).

The spelling of 102332310000 in words is "one hundred two billion, three hundred thirty-two million, three hundred ten thousand".