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10130232032 = 25596138753
BaseRepresentation
bin10010110111100111…
…10001001011100000
3222010222211002212222
421123303301023200
5131221314411112
64353114010212
7506015360114
oct113363611340
928128732788
1010130232032
114329285298
121b68716968
13c5598774b
146c1583744
153e4535372
hex25bcf12e0

10130232032 has 48 divisors (see below), whose sum is σ = 20317333680. Its totient is φ = 4970575872.

The previous prime is 10130232029. The next prime is 10130232041. The reversal of 10130232032 is 23023203101.

10130232032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 10130232032.

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 7 ways as a sum of consecutive naturals, for example, 1152968 + ... + 1161720.

It is an arithmetic number, because the mean of its divisors is an integer number (423277785).

Almost surely, 210130232032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10130232032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10158666840).

10130232032 is an abundant number, since it is smaller than the sum of its proper divisors (10187101648).

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

10130232032 is an equidigital number, since it uses as much as digits as its factorization.

10130232032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9435 (or 9427 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 10130232032 its reverse (23023203101), we get a palindrome (33153435133).

The spelling of 10130232032 in words is "ten billion, one hundred thirty million, two hundred thirty-two thousand, thirty-two".

Divisors: 1 2 4 8 16 32 59 118 236 472 613 944 1226 1888 2452 4904 8753 9808 17506 19616 35012 36167 70024 72334 140048 144668 280096 289336 516427 578672 1032854 1157344 2065708 4131416 5365589 8262832 10731178 16525664 21462356 42924712 85849424 171698848 316569751 633139502 1266279004 2532558008 5065116016 10130232032