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33133033121 is a prime number
BaseRepresentation
bin11110110110111000…
…011111011010100001
310011112002122110211212
4132312320133122201
51020324024024441
623115431515505
72252032064126
oct366670373241
9104462573755
1033133033121
1113062808201
126508228b95
1331804b7856
1418645a074d
15cddbe9eeb
hex7b6e1f6a1

33133033121 has 2 divisors, whose sum is σ = 33133033122. Its totient is φ = 33133033120.

The previous prime is 33133033091. The next prime is 33133033139. The reversal of 33133033121 is 12133033133.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 30778842721 + 2354190400 = 175439^2 + 48520^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-33133033121 is a prime.

It is not a weakly prime, because it can be changed into another prime (33133035121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16566516560 + 16566516561.

It is an arithmetic number, because the mean of its divisors is an integer number (16566516561).

Almost surely, 233133033121 is an apocalyptic number.

It is an amenable number.

33133033121 is a deficient number, since it is larger than the sum of its proper divisors (1).

33133033121 is an equidigital number, since it uses as much as digits as its factorization.

33133033121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1458, while the sum is 23.

Adding to 33133033121 its reverse (12133033133), we get a palindrome (45266066254).

The spelling of 33133033121 in words is "thirty-three billion, one hundred thirty-three million, thirty-three thousand, one hundred twenty-one".