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11132211113 is a prime number
BaseRepresentation
bin10100101111000100…
…00000111110101001
31001201211012220210022
422113202000332221
5140244321223423
65040345530225
7542603142662
oct122742007651
931654186708
1011132211113
1147a292aa81
1221a81a3975
13108543868a
14778688369
154524a7dc8
hex297880fa9

11132211113 has 2 divisors, whose sum is σ = 11132211114. Its totient is φ = 11132211112.

The previous prime is 11132211089. The next prime is 11132211119. The reversal of 11132211113 is 31111223111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9217536064 + 1914675049 = 96008^2 + 43757^2 .

It is a cyclic number.

It is not a de Polignac number, because 11132211113 - 26 = 11132211049 is a prime.

It is a super-3 number, since 3×111322111133 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 11132211091 and 11132211100.

It is not a weakly prime, because it can be changed into another prime (11132211119) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5566105556 + 5566105557.

It is an arithmetic number, because the mean of its divisors is an integer number (5566105557).

Almost surely, 211132211113 is an apocalyptic number.

It is an amenable number.

11132211113 is a deficient number, since it is larger than the sum of its proper divisors (1).

11132211113 is an equidigital number, since it uses as much as digits as its factorization.

11132211113 is an evil number, because the sum of its binary digits is even.

The product of its digits is 36, while the sum is 17.

Adding to 11132211113 its reverse (31111223111), we get a palindrome (42243434224).

The spelling of 11132211113 in words is "eleven billion, one hundred thirty-two million, two hundred eleven thousand, one hundred thirteen".