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1133032013 is a prime number
BaseRepresentation
bin100001110001000…
…1011001001001101
32220221222222201122
41003202023021031
54310024011023
6304232450325
740035420221
oct10342131115
92827888648
101133032013
115316267a3
122775499a5
13150977a59
14aa69a781
156970d2c8
hex4388b24d

1133032013 has 2 divisors, whose sum is σ = 1133032014. Its totient is φ = 1133032012.

The previous prime is 1133031979. The next prime is 1133032027. The reversal of 1133032013 is 3102303311.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1007300644 + 125731369 = 31738^2 + 11213^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1133032013 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1133031982 and 1133032000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1138032013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 566516006 + 566516007.

It is an arithmetic number, because the mean of its divisors is an integer number (566516007).

Almost surely, 21133032013 is an apocalyptic number.

It is an amenable number.

1133032013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1133032013 is an equidigital number, since it uses as much as digits as its factorization.

1133032013 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 1133032013 is about 33660.5408898906. The cubic root of 1133032013 is about 1042.5111939557.

Adding to 1133032013 its reverse (3102303311), we get a palindrome (4235335324).

The spelling of 1133032013 in words is "one billion, one hundred thirty-three million, thirty-two thousand, thirteen".