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1024136113 = 721113211243
BaseRepresentation
bin111101000010110…
…001001110110001
32122101002111122011
4331002301032301
54044134323423
6245342442521
734244004400
oct7502611661
92571074564
101024136113
11486109690
12246b93441
1313423b100
149a031637
155ed9cb0d
hex3d0b13b1

1024136113 has 36 divisors (see below), whose sum is σ = 1407433968. Its totient is φ = 736575840.

The previous prime is 1024136077. The next prime is 1024136129. The reversal of 1024136113 is 3116314201.

1024136113 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 1024136113 - 229 = 487265201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1024136143) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 85470 + ... + 96712.

It is an arithmetic number, because the mean of its divisors is an integer number (39095388).

Almost surely, 21024136113 is an apocalyptic number.

1024136113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1024136113 is a deficient number, since it is larger than the sum of its proper divisors (383297855).

1024136113 is a wasteful number, since it uses less digits than its factorization.

1024136113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11294 (or 11274 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 1024136113 is about 32002.1266949558. The cubic root of 1024136113 is about 1007.9814972170.

The spelling of 1024136113 in words is "one billion, twenty-four million, one hundred thirty-six thousand, one hundred thirteen".

Divisors: 1 7 11 13 49 77 91 143 169 539 637 1001 1183 1859 7007 8281 11243 13013 78701 91091 123673 146159 550907 865711 1023113 1607749 1900067 6059977 7161791 11254243 13300469 20900737 78779701 93103283 146305159 1024136113