Search a number
-
+
33107538521 is a prime number
BaseRepresentation
bin11110110101010111…
…001111001001011001
310011110022200012211102
4132311113033021121
51020301012213041
623113121241145
72251302301631
oct366527171131
9104408605742
1033107538521
111304a384792
1264bb7931b5
13317812c4a5
1418610456c1
15cdb86109b
hex7b55cf259

33107538521 has 2 divisors, whose sum is σ = 33107538522. Its totient is φ = 33107538520.

The previous prime is 33107538509. The next prime is 33107538523. The reversal of 33107538521 is 12583570133.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 26297162896 + 6810375625 = 162164^2 + 82525^2 .

It is an emirp because it is prime and its reverse (12583570133) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 33107538521 - 222 = 33103344217 is a prime.

It is a super-2 number, since 2×331075385212 (a number of 22 digits) contains 22 as substring.

It is a Sophie Germain prime.

Together with 33107538523, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (33107538523) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16553769260 + 16553769261.

It is an arithmetic number, because the mean of its divisors is an integer number (16553769261).

Almost surely, 233107538521 is an apocalyptic number.

It is an amenable number.

33107538521 is a deficient number, since it is larger than the sum of its proper divisors (1).

33107538521 is an equidigital number, since it uses as much as digits as its factorization.

33107538521 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 75600, while the sum is 38.

The spelling of 33107538521 in words is "thirty-three billion, one hundred seven million, five hundred thirty-eight thousand, five hundred twenty-one".