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11345012523 = 341365916349
BaseRepresentation
bin10101001000011011…
…10010011100101011
31002021122122100110000
422210031302130223
5141213310400043
65113430554043
7551066005155
oct124415623453
932248570400
1011345012523
1148a1a66909
122247508923
1310ba555680
14798a3dad5
15465ee02d3
hex2a437272b

11345012523 has 40 divisors (see below), whose sum is σ = 18279954000. Its totient is φ = 6970525632.

The previous prime is 11345012521. The next prime is 11345012527. The reversal of 11345012523 is 32521054311.

11345012523 is a `hidden beast` number, since 1 + 134 + 5 + 0 + 1 + 2 + 523 = 666.

11345012523 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 11345012523 - 21 = 11345012521 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (11345012521) 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 39 ways as a sum of consecutive naturals, for example, 685753 + ... + 702101.

It is an arithmetic number, because the mean of its divisors is an integer number (456998850).

Almost surely, 211345012523 is an apocalyptic number.

11345012523 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

11345012523 is a deficient number, since it is larger than the sum of its proper divisors (6934941477).

11345012523 is a wasteful number, since it uses less digits than its factorization.

11345012523 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17033 (or 17024 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 11345012523 its reverse (32521054311), we get a palindrome (43866066834).

The spelling of 11345012523 in words is "eleven billion, three hundred forty-five million, twelve thousand, five hundred twenty-three".

Divisors: 1 3 9 13 27 39 81 117 351 659 1053 1977 5931 8567 16349 17793 25701 49047 53379 77103 147141 212537 231309 441423 637611 693927 1324269 1912833 5738499 10773991 17215497 32321973 96965919 140061883 290897757 420185649 872693271 1260556947 3781670841 11345012523