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10113798585 = 3511598312517
BaseRepresentation
bin10010110101101010…
…00101000110111001
3222002211220012102210
421122311011012321
5131203113023320
64351325445333
7505425604152
oct113265050671
928084805383
1010113798585
11431aa80630
121b63110849
13c52452807
146bd306929
153e2d8b0e0
hex25ad451b9

10113798585 has 64 divisors (see below), whose sum is σ = 18170127360. Its totient is φ = 4762087680.

The previous prime is 10113798509. The next prime is 10113798589. The reversal of 10113798585 is 58589731101.

It is a happy number.

10113798585 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10113798585 - 214 = 10113782201 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10113798589) 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 63 ways as a sum of consecutive naturals, for example, 801747 + ... + 814263.

It is an arithmetic number, because the mean of its divisors is an integer number (283908240).

Almost surely, 210113798585 is an apocalyptic number.

10113798585 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10113798585 is a deficient number, since it is larger than the sum of its proper divisors (8056328775).

10113798585 is a wasteful number, since it uses less digits than its factorization.

10113798585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12678.

The product of its (nonzero) digits is 302400, while the sum is 48.

The spelling of 10113798585 in words is "ten billion, one hundred thirteen million, seven hundred ninety-eight thousand, five hundred eighty-five".

Divisors: 1 3 5 11 15 33 55 59 83 165 177 249 295 415 649 885 913 1245 1947 2739 3245 4565 4897 9735 12517 13695 14691 24485 37551 53867 62585 73455 137687 161601 187755 269335 413061 688435 738503 808005 1038911 2065305 2215509 3116733 3692515 5194555 8123533 11077545 11428021 15583665 24370599 34284063 40617665 57140105 61295749 121852995 171420315 183887247 306478745 674253239 919436235 2022759717 3371266195 10113798585