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10014133224 = 2331133692527
BaseRepresentation
bin10010101001110001…
…11000101111101000
3221211220100200021010
421110320320233220
5131002104230344
64333405343520
7503105504454
oct112470705750
927756320233
1010014133224
114279798567
121b35867ba0
13c378c8424
146adda1664
153d92508b9
hex254e38be8

10014133224 has 32 divisors (see below), whose sum is σ = 25256891520. Its totient is φ = 3308503296.

The previous prime is 10014133223. The next prime is 10014133229. The reversal of 10014133224 is 42233141001.

10014133224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×100141332243 (a number of 31 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10014133224.

It is not an unprimeable number, because it can be changed into a prime (10014133223) by changing a digit.

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, 1843552 + ... + 1848975.

It is an arithmetic number, because the mean of its divisors is an integer number (789277860).

Almost surely, 210014133224 is an apocalyptic number.

It is an amenable number.

10014133224 is an abundant number, since it is smaller than the sum of its proper divisors (15242758296).

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

10014133224 is a wasteful number, since it uses less digits than its factorization.

10014133224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3692649 (or 3692645 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 10014133224 its reverse (42233141001), we get a palindrome (52247274225).

The spelling of 10014133224 in words is "ten billion, fourteen million, one hundred thirty-three thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 113 226 339 452 678 904 1356 2712 3692527 7385054 11077581 14770108 22155162 29540216 44310324 88620648 417255551 834511102 1251766653 1669022204 2503533306 3338044408 5007066612 10014133224