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933041422241 is a prime number
BaseRepresentation
bin11011001001111011001…
…10100011111110100001
310022012100021001020120122
431210331212203332201
5110241332101002431
61552344443450025
7124260431142425
oct15447546437641
93265307036518
10933041422241
1132a778616425
121309b5826915
1369ca6ca9726
143323373ab85
151940d17ca7b
hexd93d9a3fa1

933041422241 has 2 divisors, whose sum is σ = 933041422242. Its totient is φ = 933041422240.

The previous prime is 933041422217. The next prime is 933041422249. The reversal of 933041422241 is 142224140339.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 557517582241 + 375523840000 = 746671^2 + 612800^2 .

It is an emirp because it is prime and its reverse (142224140339) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 933041422241 - 26 = 933041422177 is a prime.

It is not a weakly prime, because it can be changed into another prime (933041422249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 466520711120 + 466520711121.

It is an arithmetic number, because the mean of its divisors is an integer number (466520711121).

Almost surely, 2933041422241 is an apocalyptic number.

It is an amenable number.

933041422241 is a deficient number, since it is larger than the sum of its proper divisors (1).

933041422241 is an equidigital number, since it uses as much as digits as its factorization.

933041422241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 41472, while the sum is 35.

The spelling of 933041422241 in words is "nine hundred thirty-three billion, forty-one million, four hundred twenty-two thousand, two hundred forty-one".