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10033332121 is a prime number
BaseRepresentation
bin10010101100000100…
…00111111110011001
3221220020111002012101
421112002013332121
5131022013111441
64335333043401
7503430626101
oct112602077631
927806432171
1010033332121
114289610a1a
121b40186561
13c3b88b017
146b275c201
153dac94231
hex256087f99

10033332121 has 2 divisors, whose sum is σ = 10033332122. Its totient is φ = 10033332120.

The previous prime is 10033332083. The next prime is 10033332131. The reversal of 10033332121 is 12123333001.

10033332121 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9738729225 + 294602896 = 98685^2 + 17164^2 .

It is a cyclic number.

It is not a de Polignac number, because 10033332121 - 27 = 10033331993 is a prime.

It is not a weakly prime, because it can be changed into another prime (10033332131) 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, 5016666060 + 5016666061.

It is an arithmetic number, because the mean of its divisors is an integer number (5016666061).

Almost surely, 210033332121 is an apocalyptic number.

It is an amenable number.

10033332121 is a deficient number, since it is larger than the sum of its proper divisors (1).

10033332121 is an equidigital number, since it uses as much as digits as its factorization.

10033332121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 10033332121 its reverse (12123333001), we get a palindrome (22156665122).

The spelling of 10033332121 in words is "ten billion, thirty-three million, three hundred thirty-two thousand, one hundred twenty-one".