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10033413133 is a prime number
BaseRepresentation
bin10010101100000100…
…11011110000001101
3221220020122012022211
421112002123300031
5131022023210013
64335334510421
7503431414222
oct112602336015
927806565284
1010033413133
114289666877
121b40205411
13c3b8b8b63
146b277d949
153dacad23d
hex25609bc0d

10033413133 has 2 divisors, whose sum is σ = 10033413134. Its totient is φ = 10033413132.

The previous prime is 10033413109. The next prime is 10033413151. The reversal of 10033413133 is 33131433001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5075422564 + 4957990569 = 71242^2 + 70413^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10033413133 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10033414133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5016706566 + 5016706567.

It is an arithmetic number, because the mean of its divisors is an integer number (5016706567).

Almost surely, 210033413133 is an apocalyptic number.

It is an amenable number.

10033413133 is a deficient number, since it is larger than the sum of its proper divisors (1).

10033413133 is an equidigital number, since it uses as much as digits as its factorization.

10033413133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 10033413133 its reverse (33131433001), we get a palindrome (43164846134).

The spelling of 10033413133 in words is "ten billion, thirty-three million, four hundred thirteen thousand, one hundred thirty-three".