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111122131121 = 4124111246041
BaseRepresentation
bin110011101111101100…
…1010010100010110001
3101121211021220010212222
41213133121102202301
53310034231143441
6123014312530425
711012465346521
oct1473731224261
9347737803788
10111122131121
1143143600901
12196526b0a15
13a62bb29011
145542243681
152d558a0d4b
hex19df6528b1

111122131121 has 8 divisors (see below), whose sum is σ = 114304770888. Its totient is φ = 107961984000.

The previous prime is 111122131111. The next prime is 111122131177. The reversal of 111122131121 is 121131221111.

It can be written as a sum of positive squares in 4 ways, for example, as 2762658721 + 108359472400 = 52561^2 + 329180^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 111122131121 - 226 = 111055022257 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 111122131121.

It is not an unprimeable number, because it can be changed into a prime (111122131111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5613140 + ... + 5632901.

It is an arithmetic number, because the mean of its divisors is an integer number (14288096361).

Almost surely, 2111122131121 is an apocalyptic number.

It is an amenable number.

111122131121 is a deficient number, since it is larger than the sum of its proper divisors (3182639767).

111122131121 is a wasteful number, since it uses less digits than its factorization.

111122131121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11246323.

The product of its digits is 24, while the sum is 17.

Adding to 111122131121 its reverse (121131221111), we get a palindrome (232253352232).

The spelling of 111122131121 in words is "one hundred eleven billion, one hundred twenty-two million, one hundred thirty-one thousand, one hundred twenty-one".

Divisors: 1 41 241 9881 11246041 461087681 2710295881 111122131121