Search a number
-
+
33003120121 is a prime number
BaseRepresentation
bin11110101111001000…
…111010010111111001
310011012001012012201021
4132233020322113321
51020042244320441
623054511222441
72245563615046
oct365710722771
9104161165637
1033003120121
1112aa6445694
126490817a21
13315c5cc85a
1418512241cd
15cd25d73d1
hex7af23a5f9

33003120121 has 2 divisors, whose sum is σ = 33003120122. Its totient is φ = 33003120120.

The previous prime is 33003120097. The next prime is 33003120133. The reversal of 33003120121 is 12102130033.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 17827590400 + 15175529721 = 133520^2 + 123189^2 .

It is a cyclic number.

It is not a de Polignac number, because 33003120121 - 215 = 33003087353 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 33003120095 and 33003120104.

It is not a weakly prime, because it can be changed into another prime (33003120721) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16501560060 + 16501560061.

It is an arithmetic number, because the mean of its divisors is an integer number (16501560061).

Almost surely, 233003120121 is an apocalyptic number.

It is an amenable number.

33003120121 is a deficient number, since it is larger than the sum of its proper divisors (1).

33003120121 is an equidigital number, since it uses as much as digits as its factorization.

33003120121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 33003120121 its reverse (12102130033), we get a palindrome (45105250154).

The spelling of 33003120121 in words is "thirty-three billion, three million, one hundred twenty thousand, one hundred twenty-one".