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10125435320 = 23571113435881
BaseRepresentation
bin10010110111000010…
…11110000110111000
3222010122210102000222
421123201132012320
5131214102412240
64352423115212
7505626531410
oct113341360670
928118712028
1010125435320
1143265a9470
121b66ba2b08
13c54998360
146c0a95640
153e3dd8eb5
hex25b85e1b8

10125435320 has 256 divisors, whose sum is σ = 31305415680. Its totient is φ = 2844979200.

The previous prime is 10125435311. The next prime is 10125435377. The reversal of 10125435320 is 2353452101.

It is a happy number.

10125435320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 10125435320.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 1718780 + ... + 1724660.

It is an arithmetic number, because the mean of its divisors is an integer number (122286780).

Almost surely, 210125435320 is an apocalyptic number.

10125435320 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 10125435320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15652707840).

10125435320 is an abundant number, since it is smaller than the sum of its proper divisors (21179980360).

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

10125435320 is a wasteful number, since it uses less digits than its factorization.

10125435320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5966 (or 5962 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

Adding to 10125435320 its reverse (2353452101), we get a palindrome (12478887421).

The spelling of 10125435320 in words is "ten billion, one hundred twenty-five million, four hundred thirty-five thousand, three hundred twenty".