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10004033010 = 2351722786413
BaseRepresentation
bin10010101000100100…
…10110110111110010
3221211012100112101010
421110102112313302
5130442013024020
64332405051350
7502623606666
oct112422266762
927735315333
1010004033010
11427401a084
121b323b6b56
13c357a007a
146ac8d28a6
153d8407de0
hex254496df2

10004033010 has 64 divisors (see below), whose sum is σ = 25534300032. Its totient is φ = 2499726336.

The previous prime is 10004033009. The next prime is 10004033059. The reversal of 10004033010 is 1033040001.

10004033010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 72564 + ... + 158976.

It is an arithmetic number, because the mean of its divisors is an integer number (398973438).

Almost surely, 210004033010 is an apocalyptic number.

10004033010 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 10004033010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12767150016).

10004033010 is an abundant number, since it is smaller than the sum of its proper divisors (15530267022).

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

10004033010 is a wasteful number, since it uses less digits than its factorization.

10004033010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86667.

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

Adding to 10004033010 its reverse (1033040001), we get a palindrome (11037073011).

The spelling of 10004033010 in words is "ten billion, four million, thirty-three thousand, ten".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 170 227 255 454 510 681 1135 1362 2270 3405 3859 6810 7718 11577 19295 23154 38590 57885 86413 115770 172826 259239 432065 518478 864130 1296195 1469021 2592390 2938042 4407063 7345105 8814126 14690210 19615751 22035315 39231502 44070630 58847253 98078755 117694506 196157510 294236265 333467767 588472530 666935534 1000403301 1667338835 2000806602 3334677670 5002016505 10004033010