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10013471523 = 3211219483953
BaseRepresentation
bin10010101001101100…
…10111001100100011
3221211212010001120200
421110312113030203
5131001422042043
64333343240243
7503100050346
oct112466271443
927755101520
1010013471523
114279386400
121b355a9083
13c377261a3
146adc6c45d
153d916e7d3
hex254d97323

10013471523 has 36 divisors (see below), whose sum is σ = 16735129320. Its totient is φ = 5749349760.

The previous prime is 10013471513. The next prime is 10013471593. The reversal of 10013471523 is 32517431001.

10013471523 is a `hidden beast` number, since 1 + 0 + 0 + 134 + 7 + 1 + 523 = 666.

10013471523 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10013471523 - 26 = 10013471459 is a prime.

It is a super-3 number, since 3×100134715233 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (10013471513) 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 35 ways as a sum of consecutive naturals, for example, 221286 + ... + 262667.

Almost surely, 210013471523 is an apocalyptic number.

10013471523 is a deficient number, since it is larger than the sum of its proper divisors (6721657797).

10013471523 is a wasteful number, since it uses less digits than its factorization.

10013471523 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484000 (or 483986 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The spelling of 10013471523 in words is "ten billion, thirteen million, four hundred seventy-one thousand, five hundred twenty-three".

Divisors: 1 3 9 11 19 33 57 99 121 171 209 363 627 1089 1881 2299 6897 20691 483953 1451859 4355577 5323483 9195107 15970449 27585321 47911347 58558313 82755963 101146177 175674939 303438531 527024817 910315593 1112607947 3337823841 10013471523