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1033253113 is a prime number
BaseRepresentation
bin111101100101100…
…011000011111001
32200000020200210211
4331211203003321
54104003044423
6250310111121
734414335514
oct7545430371
92600220724
101033253113
114902763a2
1224a04b4a1
131360b0a99
149b325d7b
1560a9e10d
hex3d9630f9

1033253113 has 2 divisors, whose sum is σ = 1033253114. Its totient is φ = 1033253112.

The previous prime is 1033253059. The next prime is 1033253147. The reversal of 1033253113 is 3113523301.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1000899769 + 32353344 = 31637^2 + 5688^2 .

It is a cyclic number.

It is not a de Polignac number, because 1033253113 - 29 = 1033252601 is a prime.

It is a super-2 number, since 2×10332531132 = 2135223991048381538, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1033253213) 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, 516626556 + 516626557.

It is an arithmetic number, because the mean of its divisors is an integer number (516626557).

Almost surely, 21033253113 is an apocalyptic number.

It is an amenable number.

1033253113 is a deficient number, since it is larger than the sum of its proper divisors (1).

1033253113 is an equidigital number, since it uses as much as digits as its factorization.

1033253113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 810, while the sum is 22.

The square root of 1033253113 is about 32144.2547432663. The cubic root of 1033253113 is about 1010.9637283680.

Adding to 1033253113 its reverse (3113523301), we get a palindrome (4146776414).

The spelling of 1033253113 in words is "one billion, thirty-three million, two hundred fifty-three thousand, one hundred thirteen".