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131331333 = 376253873
BaseRepresentation
bin1111101001111…
…11010100000101
3100011010022201110
413310333110011
5232110100313
621010515233
73153204120
oct764772405
9304108643
10131331333
11681511a1
1237b95b19
1321293763
14136293b7
15b7e2ec3
hex7d3f505

131331333 has 8 divisors (see below), whose sum is σ = 200123968. Its totient is φ = 75046464.

The previous prime is 131331329. The next prime is 131331359. The reversal of 131331333 is 333133131.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 131331333 - 22 = 131331329 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21), and also a Moran number because the ratio is a prime number: 6253873 = 131331333 / (1 + 3 + 1 + 3 + 3 + 1 + 3 + 3 + 3).

It is a nude number because it is divisible by every one of its digits.

It is a Duffinian number.

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 polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3126916 + ... + 3126957.

It is an arithmetic number, because the mean of its divisors is an integer number (25015496).

Almost surely, 2131331333 is an apocalyptic number.

It is an amenable number.

131331333 is a deficient number, since it is larger than the sum of its proper divisors (68792635).

131331333 is an equidigital number, since it uses as much as digits as its factorization.

131331333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6253883.

The product of its digits is 729, while the sum is 21.

The square root of 131331333 is about 11459.9883507794. The cubic root of 131331333 is about 508.3031301473.

Adding to 131331333 its reverse (333133131), we get a palindrome (464464464).

The spelling of 131331333 in words is "one hundred thirty-one million, three hundred thirty-one thousand, three hundred thirty-three".

Divisors: 1 3 7 21 6253873 18761619 43777111 131331333