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10020132000 = 25335392779
BaseRepresentation
bin10010101010011111…
…10001010010100000
3221212022122110001000
421111033301102200
5131010123211000
64334142112000
7503210500554
oct112517612240
927768573030
1010020132000
11428211552a
121b3787b600
13c38c189b8
146b0ac3864
153d9a38000
hex2553f14a0

10020132000 has 192 divisors, whose sum is σ = 36473673600. Its totient is φ = 2672006400.

The previous prime is 10020131977. The next prime is 10020132013. The reversal of 10020132000 is 23102001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61611 + ... + 154389.

It is an arithmetic number, because the mean of its divisors is an integer number (189967050).

Almost surely, 210020132000 is an apocalyptic number.

10020132000 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 10020132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18236836800).

10020132000 is an abundant number, since it is smaller than the sum of its proper divisors (26453541600).

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

10020132000 is an equidigital number, since it uses as much as digits as its factorization.

10020132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92813 (or 92789 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 10020132000 its reverse (23102001), we get a palindrome (10043234001).

The spelling of 10020132000 in words is "ten billion, twenty million, one hundred thirty-two thousand".