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131111123 = 11213174903
BaseRepresentation
bin1111101000010…
…01100011010011
3100010201010122112
413310021203103
5232031023443
621002055535
73151266113
oct764114323
9303633575
10131111123
1168010800
1237aaa5ab
1321217460
14135ad043
15b79cb18
hex7d098d3

131111123 has 24 divisors (see below), whose sum is σ = 164362464. Its totient is φ = 103530240.

The previous prime is 131111119. The next prime is 131111129. The reversal of 131111123 is 321111131.

It is a happy number.

It is not a de Polignac number, because 131111123 - 22 = 131111119 is a prime.

It is a super-2 number, since 2×1311111232 = 34380253148642258, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131111098 and 131111107.

It is not an unprimeable number, because it can be changed into a prime (131111129) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24290 + ... + 29192.

It is an arithmetic number, because the mean of its divisors is an integer number (6848436).

Almost surely, 2131111123 is an apocalyptic number.

131111123 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

131111123 is a deficient number, since it is larger than the sum of its proper divisors (33251341).

131111123 is a wasteful number, since it uses less digits than its factorization.

131111123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4955 (or 4944 counting only the distinct ones).

The product of its digits is 18, while the sum is 14.

The square root of 131111123 is about 11450.3765440268. The cubic root of 131111123 is about 508.0188718783.

Adding to 131111123 its reverse (321111131), we get a palindrome (452222254).

The spelling of 131111123 in words is "one hundred thirty-one million, one hundred eleven thousand, one hundred twenty-three".

Divisors: 1 11 13 17 121 143 187 221 1573 2057 2431 4903 26741 53933 63739 83351 593263 701129 916861 1083563 7712419 10085471 11919193 131111123