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11010505753 = 1317230921577
BaseRepresentation
bin10100100000100011…
…01111110000011001
31001102100012122102101
422100101233300121
5140022142141003
65020321203401
7536564516602
oct122021576031
931370178371
1011010505753
114740163a35
122173490561
131066165480
14766446da9
1544696711d
hex29046fc19

11010505753 has 16 divisors (see below), whose sum is σ = 12560985360. Its totient is φ = 9561102336.

The previous prime is 11010505747. The next prime is 11010505799. The reversal of 11010505753 is 35750501011.

It can be written as a sum of positive squares in 8 ways, for example, as 1152398809 + 9858106944 = 33947^2 + 99288^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-11010505753 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11010506753) 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, 499501 + ... + 521077.

It is an arithmetic number, because the mean of its divisors is an integer number (785061585).

Almost surely, 211010505753 is an apocalyptic number.

11010505753 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

11010505753 is a deficient number, since it is larger than the sum of its proper divisors (1550479607).

11010505753 is a wasteful number, since it uses less digits than its factorization.

11010505753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23916.

The product of its (nonzero) digits is 2625, while the sum is 28.

The spelling of 11010505753 in words is "eleven billion, ten million, five hundred five thousand, seven hundred fifty-three".

Divisors: 1 13 17 221 2309 21577 30017 39253 280501 366809 510289 4768517 49821293 647676809 846961981 11010505753