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1033105201 is a prime number
BaseRepresentation
bin111101100100111…
…110111100110001
32122222222011220121
4331210332330301
54103433331301
6250303010241
734413151342
oct7544767461
92588864817
101033105201
11490185257
12249b99981
1313605b66b
149b2c80c9
1560a703a1
hex3d93ef31

1033105201 has 2 divisors, whose sum is σ = 1033105202. Its totient is φ = 1033105200.

The previous prime is 1033105159. The next prime is 1033105217. The reversal of 1033105201 is 1025013301.

It is an a-pointer prime, because the next prime (1033105217) can be obtained adding 1033105201 to its sum of digits (16).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 846810000 + 186295201 = 29100^2 + 13649^2 .

It is a cyclic number.

It is not a de Polignac number, because 1033105201 - 221 = 1031008049 is a prime.

It is not a weakly prime, because it can be changed into another prime (1033105001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 516552600 + 516552601.

It is an arithmetic number, because the mean of its divisors is an integer number (516552601).

Almost surely, 21033105201 is an apocalyptic number.

It is an amenable number.

1033105201 is a deficient number, since it is larger than the sum of its proper divisors (1).

1033105201 is an equidigital number, since it uses as much as digits as its factorization.

1033105201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 90, while the sum is 16.

The square root of 1033105201 is about 32141.9539076267. The cubic root of 1033105201 is about 1010.9154856541.

Adding to 1033105201 its reverse (1025013301), we get a palindrome (2058118502).

The spelling of 1033105201 in words is "one billion, thirty-three million, one hundred five thousand, two hundred one".