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1013538229 = 11234924001
BaseRepresentation
bin111100011010010…
…101110110110101
32121122011002001221
4330122111312311
54033431210404
6244323350341
734054634644
oct7432256665
92548132057
101013538229
11480130300
122435223b1
13131c9a382
149887335b
155dea7954
hex3c695db5

1013538229 has 12 divisors (see below), whose sum is σ = 1117293100. Its totient is φ = 918720000.

The previous prime is 1013538191. The next prime is 1013538247. The reversal of 1013538229 is 9228353101.

It can be written as a sum of positive squares in 2 ways, for example, as 508502500 + 505035729 = 22550^2 + 22473^2 .

It is not a de Polignac number, because 1013538229 - 227 = 879320501 is a prime.

It is a super-5 number, since 5×10135382295 (a number of 46 digits) contains 55555 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1013538194 and 1013538203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013538269) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30229 + ... + 54229.

Almost surely, 21013538229 is an apocalyptic number.

It is an amenable number.

1013538229 is a deficient number, since it is larger than the sum of its proper divisors (103754871).

1013538229 is a wasteful number, since it uses less digits than its factorization.

1013538229 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24372 (or 24361 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 34.

The square root of 1013538229 is about 31836.1151681545. The cubic root of 1013538229 is about 1004.4925299507.

The spelling of 1013538229 in words is "one billion, thirteen million, five hundred thirty-eight thousand, two hundred twenty-nine".

Divisors: 1 11 121 349 3839 24001 42229 264011 2904121 8376349 92139839 1013538229