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10003302320 = 24511279103127
BaseRepresentation
bin10010101000011111…
…00100011110110000
3221211010222102001112
421110033210132300
5130441321133240
64332341252452
7502614444464
oct112417443660
927733872045
1010003302320
114273670100
121b32104128
13c355a55cb
146ac7824a4
153d8311665
hex2543e47b0

10003302320 has 240 divisors, whose sum is σ = 26344980480. Its totient is φ = 3528645120.

The previous prime is 10003302317. The next prime is 10003302341. The reversal of 10003302320 is 2320330001.

It is a junction number, because it is equal to n+sod(n) for n = 10003302295 and 10003302304.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 78766097 + ... + 78766223.

It is an arithmetic number, because the mean of its divisors is an integer number (109770752).

Almost surely, 210003302320 is an apocalyptic number.

10003302320 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 10003302320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13172490240).

10003302320 is an abundant number, since it is smaller than the sum of its proper divisors (16341678160).

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

10003302320 is a wasteful number, since it uses less digits than its factorization.

10003302320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

Adding to 10003302320 its reverse (2320330001), we get a palindrome (12323632321).

The spelling of 10003302320 in words is "ten billion, three million, three hundred two thousand, three hundred twenty".