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131123311 = 1159281719
BaseRepresentation
bin1111101000011…
…00100001101111
3100010201202100221
413310030201233
5232031421221
621002232211
73151346464
oct764144157
9303652327
10131123311
1168019980
1237ab5667
132121cb77
14135b366b
15b7a1541
hex7d0c86f

131123311 has 16 divisors (see below), whose sum is σ = 146188800. Its totient is φ = 116603200.

The previous prime is 131123269. The next prime is 131123323. The reversal of 131123311 is 113321131.

It is a cyclic number.

It is not a de Polignac number, because 131123311 - 27 = 131123183 is a prime.

It is a super-3 number, since 3×1311233113 (a number of 25 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131123341) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 182010 + ... + 182728.

It is an arithmetic number, because the mean of its divisors is an integer number (9136800).

Almost surely, 2131123311 is an apocalyptic number.

131123311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

131123311 is a deficient number, since it is larger than the sum of its proper divisors (15065489).

131123311 is a wasteful number, since it uses less digits than its factorization.

131123311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1070.

The product of its digits is 54, while the sum is 16.

The square root of 131123311 is about 11450.9087412310. The cubic root of 131123311 is about 508.0346130858.

Adding to 131123311 its reverse (113321131), we get a palindrome (244444442).

The spelling of 131123311 in words is "one hundred thirty-one million, one hundred twenty-three thousand, three hundred eleven".

Divisors: 1 11 59 281 649 719 3091 7909 16579 42421 182369 202039 466631 2222429 11920301 131123311