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102302112000 = 283531128807
BaseRepresentation
bin101111101000110101…
…1100101100100000000
3100210001121110202020010
41133101223211210000
53134003320041000
6114555201144520
710251066414204
oct1372153454400
9323047422203
10102302112000
113a427969a00
12179b092b140
139854743caa
144d46abcb04
1529db3c6d50
hex17d1ae5900

102302112000 has 432 divisors, whose sum is σ = 373537696896. Its totient is φ = 24797696000.

The previous prime is 102302111971. The next prime is 102302112023. The reversal of 102302112000 is 211203201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11611597 + ... + 11620403.

Almost surely, 2102302112000 is an apocalyptic number.

102302112000 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 102302112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186768848448).

102302112000 is an abundant number, since it is smaller than the sum of its proper divisors (271235584896).

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

102302112000 is an equidigital number, since it uses as much as digits as its factorization.

102302112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8863 (or 8828 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 102302112000 its reverse (211203201), we get a palindrome (102513315201).

The spelling of 102302112000 in words is "one hundred two billion, three hundred two million, one hundred twelve thousand".