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1013134311 = 37766179
BaseRepresentation
bin111100011000110…
…011001111100111
32121121101120000000
4330120303033213
54033330244221
6244310552343
734051333230
oct7430631747
92547346000
101013134311
1147a984892
122433686b3
13131b88577
14987aa087
155de27e26
hex3c6333e7

1013134311 has 32 divisors (see below), whose sum is σ = 1736563200. Its totient is φ = 578925144.

The previous prime is 1013134307. The next prime is 1013134319. The reversal of 1013134311 is 1134313101.

It is not a de Polignac number, because 1013134311 - 22 = 1013134307 is a prime.

It is a super-2 number, since 2×10131343112 = 2052882264250889442, which contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013134319) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17781 + ... + 48398.

It is an arithmetic number, because the mean of its divisors is an integer number (54267600).

Almost surely, 21013134311 is an apocalyptic number.

1013134311 is a deficient number, since it is larger than the sum of its proper divisors (723428889).

1013134311 is an frugal number, since it uses more digits than its factorization.

1013134311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66207 (or 66189 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 1013134311 is about 31829.7708285812. The cubic root of 1013134311 is about 1004.3590745262.

Adding to 1013134311 its reverse (1134313101), we get a palindrome (2147447412).

The spelling of 1013134311 in words is "one billion, thirteen million, one hundred thirty-four thousand, three hundred eleven".

Divisors: 1 3 7 9 21 27 63 81 189 243 567 729 1701 2187 5103 15309 66179 198537 463253 595611 1389759 1786833 4169277 5360499 12507831 16081497 37523493 48244491 112570479 144733473 337711437 1013134311