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11122133031 = 33715801843
BaseRepresentation
bin10100101101110111…
…00100100000100111
31001201010020220021000
422112323210200213
5140234231224111
65035345524343
7542421366552
oct122673444047
931633226230
1011122133031
114798177189
1221a49436b3
13108331a409
147771c3699
15451666c56
hex296ee4827

11122133031 has 16 divisors (see below), whose sum is σ = 16709310720. Its totient is φ = 7310320920.

The previous prime is 11122132997. The next prime is 11122133081. The reversal of 11122133031 is 13033122111.

11122133031 is a `hidden beast` number, since 111 + 221 + 330 + 3 + 1 = 666.

11122133031 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 11122133031 - 215 = 11122100263 is a prime.

It is a super-2 number, since 2×111221330312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11122132995 and 11122133013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11122133081) 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 15 ways as a sum of consecutive naturals, for example, 2899005 + ... + 2902838.

It is an arithmetic number, because the mean of its divisors is an integer number (1044331920).

Almost surely, 211122133031 is an apocalyptic number.

11122133031 is a deficient number, since it is larger than the sum of its proper divisors (5587177689).

11122133031 is an equidigital number, since it uses as much as digits as its factorization.

11122133031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5801923 (or 5801917 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 11122133031 its reverse (13033122111), we get a palindrome (24155255142).

The spelling of 11122133031 in words is "eleven billion, one hundred twenty-two million, one hundred thirty-three thousand, thirty-one".

Divisors: 1 3 9 27 71 213 639 1917 5801843 17405529 52216587 156649761 411930853 1235792559 3707377677 11122133031