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11157811511 = 721120700949
BaseRepresentation
bin10100110010000111…
…01011000100110111
31001210121101112221012
422121003223010313
5140322344432021
65043102342435
7543333555500
oct123103530467
931717345835
1011157811511
114806325a30
1221b488aa1b
13108a82cc42
1477bc2dba7
1545486335b
hex2990eb137

11157811511 has 12 divisors (see below), whose sum is σ = 14159449800. Its totient is φ = 8694398160.

The previous prime is 11157811459. The next prime is 11157811517. The reversal of 11157811511 is 11511875111.

11157811511 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 11157811511 - 226 = 11090702647 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11157811517) 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 11 ways as a sum of consecutive naturals, for example, 10349936 + ... + 10351013.

It is an arithmetic number, because the mean of its divisors is an integer number (1179954150).

Almost surely, 211157811511 is an apocalyptic number.

11157811511 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11157811511 is a deficient number, since it is larger than the sum of its proper divisors (3001638289).

11157811511 is a wasteful number, since it uses less digits than its factorization.

11157811511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20700974 (or 20700967 counting only the distinct ones).

The product of its digits is 1400, while the sum is 32.

The spelling of 11157811511 in words is "eleven billion, one hundred fifty-seven million, eight hundred eleven thousand, five hundred eleven".

Divisors: 1 7 11 49 77 539 20700949 144906643 227710439 1014346501 1593973073 11157811511