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11122165136 = 241761670333
BaseRepresentation
bin10100101101110111…
…01100010110010000
31001201010022112022002
422112323230112100
5140234233241021
65035350333132
7542421562265
oct122673542620
931633275262
1011122165136
114798199315
1221a495a1a8
13108332bc04
147771d126c
1545167150b
hex296eec590

11122165136 has 40 divisors (see below), whose sum is σ = 23190875064. Its totient is φ = 5148149760.

The previous prime is 11122165133. The next prime is 11122165139. The reversal of 11122165136 is 63156122111.

11122165136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11122165133) and next prime (11122165139).

It can be written as a sum of positive squares in 4 ways, for example, as 22278400 + 11099886736 = 4720^2 + 105356^2 .

It is a junction number, because it is equal to n+sod(n) for n = 11122165099 and 11122165108.

It is not an unprimeable number, because it can be changed into a prime (11122165133) 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 7 ways as a sum of consecutive naturals, for example, 318575 + ... + 351758.

Almost surely, 211122165136 is an apocalyptic number.

11122165136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11122165136 is an abundant number, since it is smaller than the sum of its proper divisors (12068709928).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11122165136 is a wasteful number, since it uses less digits than its factorization.

11122165136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670419 (or 670413 counting only the distinct ones).

The product of its digits is 2160, while the sum is 29.

Adding to 11122165136 its reverse (63156122111), we get a palindrome (74278287247).

The spelling of 11122165136 in words is "eleven billion, one hundred twenty-two million, one hundred sixty-five thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 17 34 61 68 122 136 244 272 488 976 1037 2074 4148 8296 16592 670333 1340666 2681332 5362664 10725328 11395661 22791322 40890313 45582644 81780626 91165288 163561252 182330576 327122504 654245008 695135321 1390270642 2780541284 5561082568 11122165136