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10104432300 = 22325229467829
BaseRepresentation
bin10010110100100010…
…10110011010101100
3222002012021100022100
421122101112122230
5131143213313200
64350353015100
7505253154204
oct113221263254
928065240270
1010104432300
1143157635a6
121b5bb54490
13c50523531
146bbd89404
153e213ad00
hex25a4566ac

10104432300 has 216 divisors, whose sum is σ = 32873677200. Its totient is φ = 2592898560.

The previous prime is 10104432277. The next prime is 10104432311. The reversal of 10104432300 is 323440101.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12188286 + ... + 12189114.

It is an arithmetic number, because the mean of its divisors is an integer number (152192950).

Almost surely, 210104432300 is an apocalyptic number.

10104432300 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 10104432300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16436838600).

10104432300 is an abundant number, since it is smaller than the sum of its proper divisors (22769244900).

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

10104432300 is a wasteful number, since it uses less digits than its factorization.

10104432300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1345 (or 1335 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10104432300 its reverse (323440101), we get a palindrome (10427872401).

The spelling of 10104432300 in words is "ten billion, one hundred four million, four hundred thirty-two thousand, three hundred".