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11010961013 = 1317272918257
BaseRepresentation
bin10100100000100110…
…11110111001110101
31001102101001202220212
422100103132321311
5140022301223023
65020335035205
7536601424103
oct122023367165
931371052825
1011010961013
114740444a88
12217366bb05
131066294760
14766524c73
15446a06e78
hex2904dee75

11010961013 has 16 divisors (see below), whose sum is σ = 12560773680. Its totient is φ = 9562054656.

The previous prime is 11010961009. The next prime is 11010961043. The reversal of 11010961013 is 31016901011.

It can be written as a sum of positive squares in 8 ways, for example, as 241087729 + 10769873284 = 15527^2 + 103778^2 .

It is a cyclic number.

It is not a de Polignac number, because 11010961013 - 22 = 11010961009 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 11010961013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11010961043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 593981 + ... + 612237.

It is an arithmetic number, because the mean of its divisors is an integer number (785048355).

Almost surely, 211010961013 is an apocalyptic number.

11010961013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

11010961013 is a deficient number, since it is larger than the sum of its proper divisors (1549812667).

11010961013 is a wasteful number, since it uses less digits than its factorization.

11010961013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21016.

The product of its (nonzero) digits is 162, while the sum is 23.

The spelling of 11010961013 in words is "eleven billion, ten million, nine hundred sixty-one thousand, thirteen".

Divisors: 1 13 17 221 2729 18257 35477 46393 237341 310369 603109 4034797 49823353 647703589 846997001 11010961013