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131324033 = 612418933
BaseRepresentation
bin1111101001111…
…01100010000001
3100011002221201002
413310331202001
5232104332113
621010421345
73153143621
oct764754201
9304087632
10131324033
1168146765
1237b91855
1321290339
1413626881
15b7e0c58
hex7d3d881

131324033 has 8 divisors (see below), whose sum is σ = 134045736. Its totient is φ = 128620800.

The previous prime is 131324023. The next prime is 131324059. The reversal of 131324033 is 330423131.

It can be written as a sum of positive squares in 4 ways, for example, as 1181569 + 130142464 = 1087^2 + 11408^2 .

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 131324033 - 210 = 131323009 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131323996 and 131324014.

It is not an unprimeable number, because it can be changed into a prime (131324023) 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, 10235 + ... + 19167.

It is an arithmetic number, because the mean of its divisors is an integer number (16755717).

Almost surely, 2131324033 is an apocalyptic number.

It is an amenable number.

131324033 is a deficient number, since it is larger than the sum of its proper divisors (2721703).

131324033 is an equidigital number, since it uses as much as digits as its factorization.

131324033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9235.

The product of its (nonzero) digits is 648, while the sum is 20.

The square root of 131324033 is about 11459.6698469022. The cubic root of 131324033 is about 508.2937120303.

Adding to 131324033 its reverse (330423131), we get a palindrome (461747164).

The spelling of 131324033 in words is "one hundred thirty-one million, three hundred twenty-four thousand, thirty-three".

Divisors: 1 61 241 8933 14701 544913 2152853 131324033