Search a number
-
+
11123122231 = 132961348131
BaseRepresentation
bin10100101101111110…
…10110000000110111
31001201012010011012001
422112333112000313
5140240004402411
65035423040131
7542432656534
oct122677260067
931635104161
1011123122231
114798792401
1221a5140047
1310835a5740
1477739dd8b
154517aedc1
hex296fd6037

11123122231 has 16 divisors (see below), whose sum is σ = 12412280160. Its totient is φ = 9897068160.

The previous prime is 11123122217. The next prime is 11123122247. The reversal of 11123122231 is 13222132111.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-11123122231 is a prime.

It is a super-2 number, since 2×111231222312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11123122199 and 11123122208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11123122261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 207036 + ... + 255166.

It is an arithmetic number, because the mean of its divisors is an integer number (775767510).

Almost surely, 211123122231 is an apocalyptic number.

11123122231 is a deficient number, since it is larger than the sum of its proper divisors (1289157929).

11123122231 is a wasteful number, since it uses less digits than its factorization.

11123122231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48786.

The product of its digits is 144, while the sum is 19.

Adding to 11123122231 its reverse (13222132111), we get a palindrome (24345254342).

The spelling of 11123122231 in words is "eleven billion, one hundred twenty-three million, one hundred twenty-two thousand, two hundred thirty-one".

Divisors: 1 13 29 377 613 7969 17777 48131 231101 625703 1395799 18145387 29504303 383555939 855624787 11123122231