Search a number
-
+
111311322122120 = 2354216609935993
BaseRepresentation
bin11001010011110010101111…
…110100001000011110001000
3112121010020222102110122001112
4121103302233310020132020
5104042211041430401440
61032423414311505452
732305656220611521
oct3123625764103610
9477106872418045
10111311322122120
11325159595042aa
1210598a68688288
134a157c6c68333
141d6b6d508b848
15cd06e2605965
hex653cafd08788

111311322122120 has 32 divisors (see below), whose sum is σ = 251045369052120. Its totient is φ = 44418769866240.

The previous prime is 111311322122009. The next prime is 111311322122129. The reversal of 111311322122120 is 21221223113111.

It can be written as a sum of positive squares in 4 ways, for example, as 56990088475684 + 54321233646436 = 7549178^2 + 7370294^2 .

It is a super-2 number, since 2×1113113221221202 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (111311322122129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3304951157 + ... + 3304984836.

Almost surely, 2111311322122120 is an apocalyptic number.

111311322122120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

111311322122120 is an abundant number, since it is smaller than the sum of its proper divisors (139734046930000).

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

111311322122120 is a wasteful number, since it uses less digits than its factorization.

111311322122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6609936425 (or 6609936421 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 23.

Adding to 111311322122120 its reverse (21221223113111), we get a palindrome (132532545235231).

Subtracting from 111311322122120 its reverse (21221223113111), we obtain a palindrome (90090099009009).

The spelling of 111311322122120 in words is "one hundred eleven trillion, three hundred eleven billion, three hundred twenty-two million, one hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 421 842 1684 2105 3368 4210 8420 16840 6609935993 13219871986 26439743972 33049679965 52879487944 66099359930 132198719860 264397439720 2782783053053 5565566106106 11131132212212 13913915265265 22262264424424 27827830530530 55655661061060 111311322122120