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131333905 = 537709913
BaseRepresentation
bin1111101001111…
…11111100010001
3100011010110020201
413310333330101
5232110141110
621010535201
73153214453
oct764777421
9304113221
10131333905
116815311a
1237b97501
1321294991
141362a2d3
15b7e3b3a
hex7d3ff11

131333905 has 8 divisors (see below), whose sum is σ = 161860392. Its totient is φ = 102227328.

The previous prime is 131333903. The next prime is 131333957. The reversal of 131333905 is 509333131.

It can be written as a sum of positive squares in 4 ways, for example, as 65415744 + 65918161 = 8088^2 + 8119^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 131333905 - 21 = 131333903 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131333903) 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, 354772 + ... + 355141.

It is an arithmetic number, because the mean of its divisors is an integer number (20232549).

Almost surely, 2131333905 is an apocalyptic number.

It is an amenable number.

131333905 is a deficient number, since it is larger than the sum of its proper divisors (30526487).

131333905 is an equidigital number, since it uses as much as digits as its factorization.

131333905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 709955.

The product of its (nonzero) digits is 3645, while the sum is 28.

The square root of 131333905 is about 11460.1005667490. The cubic root of 131333905 is about 508.3064483377.

The spelling of 131333905 in words is "one hundred thirty-one million, three hundred thirty-three thousand, nine hundred five".

Divisors: 1 5 37 185 709913 3549565 26266781 131333905