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11311132122 = 2322833221813
BaseRepresentation
bin10101000100011001…
…00010110111011010
31002012021220001021100
422202030202313122
5141131122211442
65110220452230
7550205015403
oct124214426732
932167801240
1011311132122
114884925a84
1222380aa076
1310b35223b4
147943409aa
1546304b84c
hex2a2322dda

11311132122 has 24 divisors (see below), whose sum is σ = 24516214164. Its totient is φ = 3769029504.

The previous prime is 11311132093. The next prime is 11311132171. The reversal of 11311132122 is 22123111311.

11311132122 is a `hidden beast` number, since 11 + 311 + 1 + 321 + 22 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11089985481 + 221146641 = 105309^2 + 14871^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 11311132095 and 11311132104.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59913 + ... + 161900.

Almost surely, 211311132122 is an apocalyptic number.

11311132122 is an abundant number, since it is smaller than the sum of its proper divisors (13205082042).

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

11311132122 is a wasteful number, since it uses less digits than its factorization.

11311132122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224654 (or 224651 counting only the distinct ones).

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

Adding to 11311132122 its reverse (22123111311), we get a palindrome (33434243433).

The spelling of 11311132122 in words is "eleven billion, three hundred eleven million, one hundred thirty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 2833 5666 8499 16998 25497 50994 221813 443626 665439 1330878 1996317 3992634 628396229 1256792458 1885188687 3770377374 5655566061 11311132122