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113123033 is a prime number
BaseRepresentation
bin1101011111000…
…01111011011001
321212212020121222
412233201323121
5212424414113
615120341425
72542346522
oct657417331
9255766558
10113123033
1158945011
1231a74875
131a589a0a
1411049849
159de7e08
hex6be1ed9

113123033 has 2 divisors, whose sum is σ = 113123034. Its totient is φ = 113123032.

The previous prime is 113122991. The next prime is 113123047. The reversal of 113123033 is 330321311.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 103469584 + 9653449 = 10172^2 + 3107^2 .

It is a cyclic number.

It is not a de Polignac number, because 113123033 - 26 = 113122969 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (113123233) 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 as a sum of consecutive naturals, namely, 56561516 + 56561517.

It is an arithmetic number, because the mean of its divisors is an integer number (56561517).

Almost surely, 2113123033 is an apocalyptic number.

It is an amenable number.

113123033 is a deficient number, since it is larger than the sum of its proper divisors (1).

113123033 is an equidigital number, since it uses as much as digits as its factorization.

113123033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 17.

The square root of 113123033 is about 10635.9312239221. The cubic root of 113123033 is about 483.6342103915.

Adding to 113123033 its reverse (330321311), we get a palindrome (443444344).

The spelling of 113123033 in words is "one hundred thirteen million, one hundred twenty-three thousand, thirty-three".