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1033010033201 is a prime number
BaseRepresentation
bin11110000100001000011…
…00100011001000110001
310122202101020121212011022
433002010030203020301
5113411101032030301
62110320330025225
7134426644255616
oct17020414431061
93582336555138
101033010033201
11369108262473
12148254b78215
1376549148b73
1437dd854a50d
151bd0e766d1b
hexf084323231

1033010033201 has 2 divisors, whose sum is σ = 1033010033202. Its totient is φ = 1033010033200.

The previous prime is 1033010033197. The next prime is 1033010033213. The reversal of 1033010033201 is 1023300103301.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 976537263601 + 56472769600 = 988199^2 + 237640^2 .

It is a cyclic number.

It is not a de Polignac number, because 1033010033201 - 22 = 1033010033197 is a prime.

It is a super-2 number, since 2×10330100332012 (a number of 25 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1033010033201.

It is not a weakly prime, because it can be changed into another prime (1033010633201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 516505016600 + 516505016601.

It is an arithmetic number, because the mean of its divisors is an integer number (516505016601).

Almost surely, 21033010033201 is an apocalyptic number.

It is an amenable number.

1033010033201 is a deficient number, since it is larger than the sum of its proper divisors (1).

1033010033201 is an equidigital number, since it uses as much as digits as its factorization.

1033010033201 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.

Adding to 1033010033201 its reverse (1023300103301), we get a palindrome (2056310136502).

The spelling of 1033010033201 in words is "one trillion, thirty-three billion, ten million, thirty-three thousand, two hundred one".