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131313303 = 32113142787
BaseRepresentation
bin1111101001110…
…10111010010111
3100011002101222200
413310322322113
5232104011203
621010255543
73153100422
oct764727227
9304071880
10131313303
11681396a0
1237b875b3
13212884a4
14136229b9
15b7dc9a3
hex7d3ae97

131313303 has 24 divisors (see below), whose sum is σ = 213597696. Its totient is φ = 77014800.

The previous prime is 131313263. The next prime is 131313317. The reversal of 131313303 is 303313131.

It is not a de Polignac number, because 131313303 - 26 = 131313239 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131313323) 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, 18325 + ... + 24462.

It is an arithmetic number, because the mean of its divisors is an integer number (8899904).

Almost surely, 2131313303 is an apocalyptic number.

131313303 is a deficient number, since it is larger than the sum of its proper divisors (82284393).

131313303 is a wasteful number, since it uses less digits than its factorization.

131313303 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42835 (or 42832 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

The square root of 131313303 is about 11459.2016737642. The cubic root of 131313303 is about 508.2798680548.

Adding to 131313303 its reverse (303313131), we get a palindrome (434626434).

It can be divided in two parts, 13 and 1313303, that added together give a square (1313316 = 11462).

The spelling of 131313303 in words is "one hundred thirty-one million, three hundred thirteen thousand, three hundred three".

Divisors: 1 3 9 11 31 33 93 99 279 341 1023 3069 42787 128361 385083 470657 1326397 1411971 3979191 4235913 11937573 14590367 43771101 131313303