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10032030030 = 235112997101107
BaseRepresentation
bin10010101011111010…
…01010000101001110
3221220011000221001210
421111331022011032
5131021144430110
64335245115250
7503413563651
oct112575120516
927804027053
1010032030030
114288901710
121b3b858b26
13c3b523459
146b24dd898
153daad8520
hex255f4a14e

10032030030 has 256 divisors, whose sum is σ = 27982402560. Its totient is φ = 2279424000.

The previous prime is 10032030023. The next prime is 10032030053. The reversal of 10032030030 is 3003023001.

It is a happy number.

10032030030 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10032029988 and 10032030015.

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 127 ways as a sum of consecutive naturals, for example, 93757237 + ... + 93757343.

It is an arithmetic number, because the mean of its divisors is an integer number (109306260).

Almost surely, 210032030030 is an apocalyptic number.

10032030030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10032030030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13991201280).

10032030030 is an abundant number, since it is smaller than the sum of its proper divisors (17950372530).

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

10032030030 is a wasteful number, since it uses less digits than its factorization.

10032030030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355.

The product of its (nonzero) digits is 54, while the sum is 12.

Adding to 10032030030 its reverse (3003023001), we get a palindrome (13035053031).

The spelling of 10032030030 in words is "ten billion, thirty-two million, thirty thousand, thirty".