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11133221319 = 3211233948079
BaseRepresentation
bin10100101111001011…
…10111100111000111
31001201220010020112100
422113211313213013
5140300101040234
65040423323143
7542614551123
oct122745674707
931656106470
1011133221319
1147a345aa60
1221a85b04b3
13108570042c
1477886c583
15452607399
hex2979779c7

11133221319 has 24 divisors (see below), whose sum is σ = 17551123200. Its totient is φ = 6744381840.

The previous prime is 11133221317. The next prime is 11133221357. The reversal of 11133221319 is 91312233111.

11133221319 is a `hidden beast` number, since 1 + 11 + 332 + 2 + 1 + 319 = 666.

It is not a de Polignac number, because 11133221319 - 21 = 11133221317 is a prime.

It is a super-2 number, since 2×111332213192 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11133221292 and 11133221301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11133221311) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 207522 + ... + 255600.

It is an arithmetic number, because the mean of its divisors is an integer number (731296800).

Almost surely, 211133221319 is an apocalyptic number.

11133221319 is a deficient number, since it is larger than the sum of its proper divisors (6417901881).

11133221319 is a wasteful number, since it uses less digits than its factorization.

11133221319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50435 (or 50432 counting only the distinct ones).

The product of its digits is 972, while the sum is 27.

It can be divided in two parts, 111332 and 21319, that added together give a cube (132651 = 513).

The spelling of 11133221319 in words is "eleven billion, one hundred thirty-three million, two hundred twenty-one thousand, three hundred nineteen".

Divisors: 1 3 9 11 33 99 2339 7017 21051 25729 48079 77187 144237 231561 432711 528869 1586607 4759821 112456781 337370343 1012111029 1237024591 3711073773 11133221319