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131331303 = 3243133857
BaseRepresentation
bin1111101001111…
…11010011100111
3100011010022200100
413310333103213
5232110100203
621010515143
73153204045
oct764772347
9304108610
10131331303
1168151174
1237b95ab3
132129373c
1413629395
15b7e2ea3
hex7d3f4e7

131331303 has 12 divisors (see below), whose sum is σ = 190146528. Its totient is φ = 87348480.

The previous prime is 131331293. The next prime is 131331329. The reversal of 131331303 is 303133131.

131331303 is a `hidden beast` number, since 1 + 31 + 331 + 303 = 666.

It is not a de Polignac number, because 131331303 - 213 = 131323111 is a prime.

It is a super-2 number, since 2×1313313032 = 34495822295355618, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131331383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13050 + ... + 20807.

It is an arithmetic number, because the mean of its divisors is an integer number (15845544).

Almost surely, 2131331303 is an apocalyptic number.

131331303 is a deficient number, since it is larger than the sum of its proper divisors (58815225).

131331303 is a wasteful number, since it uses less digits than its factorization.

131331303 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34294 (or 34291 counting only the distinct ones).

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

The square root of 131331303 is about 11459.9870418775. The cubic root of 131331303 is about 508.3030914434.

Adding to 131331303 its reverse (303133131), we get a palindrome (434464434).

The spelling of 131331303 in words is "one hundred thirty-one million, three hundred thirty-one thousand, three hundred three".

Divisors: 1 3 9 431 1293 3879 33857 101571 304713 14592367 43777101 131331303