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131312233 = 13173671619
BaseRepresentation
bin1111101001110…
…10101001101001
3100011002100112001
413310322221221
5232103442413
621010251001
73153064333
oct764725151
9304070461
10131312233
1168138908
1237b86a61
1321287b60
1413622453
15b7dc4dd
hex7d3aa69

131312233 has 16 divisors (see below), whose sum is σ = 150232320. Its totient is φ = 113700096.

The previous prime is 131312227. The next prime is 131312243. The reversal of 131312233 is 332213131.

It is a cyclic number.

It is not a de Polignac number, because 131312233 - 25 = 131312201 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 131312233.

It is not an unprimeable number, because it can be changed into a prime (131312213) 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, 80298 + ... + 81916.

It is an arithmetic number, because the mean of its divisors is an integer number (9389520).

Almost surely, 2131312233 is an apocalyptic number.

131312233 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

131312233 is a deficient number, since it is larger than the sum of its proper divisors (18920087).

131312233 is a wasteful number, since it uses less digits than its factorization.

131312233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2016.

The product of its digits is 324, while the sum is 19.

The square root of 131312233 is about 11459.1549862981. The cubic root of 131312233 is about 508.2784874865.

Adding to 131312233 its reverse (332213131), we get a palindrome (463525364).

The spelling of 131312233 in words is "one hundred thirty-one million, three hundred twelve thousand, two hundred thirty-three".

Divisors: 1 13 17 221 367 1619 4771 6239 21047 27523 81107 357799 594173 7724249 10100941 131312233