Search a number
-
+
2033041319 is a prime number
BaseRepresentation
bin111100100101101…
…1011111110100111
312020200112012101122
41321023123332213
513130424310234
6533423044155
7101244365111
oct17113337647
95220465348
102033041319
11953665041
12488a4065b
1326527573a
1415401a3b1
15bd73c92e
hex792dbfa7

2033041319 has 2 divisors, whose sum is σ = 2033041320. Its totient is φ = 2033041318.

The previous prime is 2033041303. The next prime is 2033041321. The reversal of 2033041319 is 9131403302.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 2033041319 - 24 = 2033041303 is a prime.

It is a super-2 number, since 2×20330413192 = 8266514009522519522, which contains 22 as substring.

It is a Sophie Germain prime.

Together with 2033041321, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2033041519) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1016520659 + 1016520660.

It is an arithmetic number, because the mean of its divisors is an integer number (1016520660).

Almost surely, 22033041319 is an apocalyptic number.

2033041319 is a deficient number, since it is larger than the sum of its proper divisors (1).

2033041319 is an equidigital number, since it uses as much as digits as its factorization.

2033041319 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 26.

The square root of 2033041319 is about 45089.2594638679. The cubic root of 2033041319 is about 1266.8214308666.

The spelling of 2033041319 in words is "two billion, thirty-three million, forty-one thousand, three hundred nineteen".