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11133535431 = 31937103107479
BaseRepresentation
bin10100101111001110…
…00100010011000111
31001201220201012102010
422113213010103013
5140300141113211
65040434145303
7542620326654
oct122747042307
931656635363
1011133535431
1147a3654a57
1221a8722233
1310857b03b5
14778910c2b
1545266a4a6
hex2979c44c7

11133535431 has 64 divisors (see below), whose sum is σ = 16389734400. Its totient is φ = 6697904256.

The previous prime is 11133535429. The next prime is 11133535453. The reversal of 11133535431 is 13453533111.

11133535431 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 11133535431 - 21 = 11133535429 is a prime.

It is a super-2 number, since 2×111335354312 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11133535031) 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 63 ways as a sum of consecutive naturals, for example, 23243050 + ... + 23243528.

It is an arithmetic number, because the mean of its divisors is an integer number (256089600).

Almost surely, 211133535431 is an apocalyptic number.

11133535431 is a deficient number, since it is larger than the sum of its proper divisors (5256198969).

11133535431 is a wasteful number, since it uses less digits than its factorization.

11133535431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748.

The product of its digits is 8100, while the sum is 30.

The spelling of 11133535431 in words is "eleven billion, one hundred thirty-three million, five hundred thirty-five thousand, four hundred thirty-one".

Divisors: 1 3 19 37 57 103 107 111 309 321 479 703 1437 1957 2033 2109 3811 3959 5871 6099 9101 11021 11433 11877 17723 27303 33063 49337 51253 53169 72409 75221 148011 153759 209399 217227 225663 336737 407777 628197 937403 973807 1010211 1223331 1825469 1896361 2812209 2921421 5279059 5476407 5689083 7747763 15837177 23243289 34683911 36030859 100302121 104051733 108092577 195325183 300906363 585975549 3711178477 11133535431