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10130320200 = 2335271113101167
BaseRepresentation
bin10010110111101000…
…00110101101001000
3222010222222120211110
421123310012231020
5131221330221300
64353115530320
7506016205140
oct113364065510
928128876743
1010130320200
114329335560
121b687599a0
13c559b8910
146c15a7920
153e4551550
hex25bd06b48

10130320200 has 768 divisors, whose sum is σ = 42837258240. Its totient is φ = 1912320000.

The previous prime is 10130320199. The next prime is 10130320241. The reversal of 10130320200 is 202303101.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 60660517 + ... + 60660683.

It is an arithmetic number, because the mean of its divisors is an integer number (55777680).

Almost surely, 210130320200 is an apocalyptic number.

10130320200 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 10130320200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21418629120).

10130320200 is an abundant number, since it is smaller than the sum of its proper divisors (32706938040).

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

10130320200 is a wasteful number, since it uses less digits than its factorization.

10130320200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 10130320200 its reverse (202303101), we get a palindrome (10332623301).

The spelling of 10130320200 in words is "ten billion, one hundred thirty million, three hundred twenty thousand, two hundred".