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11131122123 = 3211772714551
BaseRepresentation
bin10100101110111011…
…10111000111001011
31001201202011120222100
422113131313013023
5140244031401443
65040310324443
7542560656042
oct122735670713
931652146870
1011131122123
1147a2256890
1221a7959723
131085146ac4
14778483559
154523403d3
hex2977771cb

11131122123 has 24 divisors (see below), whose sum is σ = 17543425536. Its totient is φ = 6744798000.

The previous prime is 11131122109. The next prime is 11131122139. The reversal of 11131122123 is 32122113111.

11131122123 is a `hidden beast` number, since 111 + 311 + 221 + 23 = 666.

It is not a de Polignac number, because 11131122123 - 26 = 11131122059 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11131122096 and 11131122105.

It is not an unprimeable number, because it can be changed into a prime (11131122173) 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, 757698 + ... + 772248.

It is an arithmetic number, because the mean of its divisors is an integer number (730976064).

Almost surely, 211131122123 is an apocalyptic number.

11131122123 is a deficient number, since it is larger than the sum of its proper divisors (6412303413).

11131122123 is a wasteful number, since it uses less digits than its factorization.

11131122123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22295 (or 22292 counting only the distinct ones).

The product of its digits is 72, while the sum is 18.

Adding to 11131122123 its reverse (32122113111), we get a palindrome (43253235234).

The spelling of 11131122123 in words is "eleven billion, one hundred thirty-one million, one hundred twenty-two thousand, one hundred twenty-three".

Divisors: 1 3 9 11 33 99 7727 14551 23181 43653 69543 84997 130959 160061 254991 480183 764973 1440549 112435577 337306731 1011920193 1236791347 3710374041 11131122123