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11318000771 = 711181863941
BaseRepresentation
bin10101000101001101…
…01111110010000011
31002012202211000021202
422202212233302003
5141134402011041
65111024011415
7550320263540
oct124246576203
932182730252
1011318000771
114888797550
12223a460b6b
1310b4a8889c
1479520bbc7
15463956a9b
hex2a29afc83

11318000771 has 32 divisors (see below), whose sum is σ = 14220251136. Its totient is φ = 8751024000.

The previous prime is 11318000761. The next prime is 11318000783. The reversal of 11318000771 is 17700081311.

11318000771 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 11318000771 - 214 = 11317984387 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11318000741) 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 31 ways as a sum of consecutive naturals, for example, 12027161 + ... + 12028101.

It is an arithmetic number, because the mean of its divisors is an integer number (444382848).

Almost surely, 211318000771 is an apocalyptic number.

11318000771 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11318000771 is a deficient number, since it is larger than the sum of its proper divisors (2902250365).

11318000771 is a wasteful number, since it uses less digits than its factorization.

With its successor (11318000772) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (2003).

11318000771 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2003.

The product of its (nonzero) digits is 1176, while the sum is 29.

The spelling of 11318000771 in words is "eleven billion, three hundred eighteen million, seven hundred seventy-one", and thus it is an aban number.

Divisors: 1 7 11 77 181 863 941 1267 1991 6041 6587 9493 10351 13937 66451 72457 156203 170321 812083 1093421 1192247 1718233 1873531 5684581 8932913 12027631 13114717 62530391 146987023 1028909161 1616857253 11318000771