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131223033 = 3214580337
BaseRepresentation
bin1111101001001…
…00110111111001
3100010220211011100
413310210313321
5232043114113
621004322013
73152243304
oct764446771
9303824140
10131223033
1168087897
1237b43309
1321256386
14135dbb3b
15b7c0d73
hex7d24df9

131223033 has 6 divisors (see below), whose sum is σ = 189544394. Its totient is φ = 87482016.

The previous prime is 131223019. The next prime is 131223047. The reversal of 131223033 is 330322131.

It is an interprime number because it is at equal distance from previous prime (131223019) and next prime (131223047).

It can be written as a sum of positive squares in only one way, i.e., 106750224 + 24472809 = 10332^2 + 4947^2 .

It is not a de Polignac number, because 131223033 - 213 = 131214841 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131222997 and 131223015.

It is not an unprimeable number, because it can be changed into a prime (131223233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7290160 + ... + 7290177.

Almost surely, 2131223033 is an apocalyptic number.

It is an amenable number.

131223033 is a deficient number, since it is larger than the sum of its proper divisors (58321361).

131223033 is a wasteful number, since it uses less digits than its factorization.

131223033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14580343 (or 14580340 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 131223033 is about 11455.2622405600. The cubic root of 131223033 is about 508.1633707402.

Adding to 131223033 its reverse (330322131), we get a palindrome (461545164).

The spelling of 131223033 in words is "one hundred thirty-one million, two hundred twenty-three thousand, thirty-three".

Divisors: 1 3 9 14580337 43741011 131223033