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2123355041 is a prime number
BaseRepresentation
bin111111010001111…
…1101001110100001
312110222110121112022
41332203331032201
513322034330131
6550410511225
7103422135323
oct17643751641
95428417468
102123355041
1199a640085
124b3135515
1327aba7402
14162009613
15c662c37b
hex7e8fd3a1

2123355041 has 2 divisors, whose sum is σ = 2123355042. Its totient is φ = 2123355040.

The previous prime is 2123355023. The next prime is 2123355043. The reversal of 2123355041 is 1405533212.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2097640000 + 25715041 = 45800^2 + 5071^2 .

It is a cyclic number.

It is not a de Polignac number, because 2123355041 - 26 = 2123354977 is a prime.

It is a super-2 number, since 2×21233550412 = 9017273260280223362, which contains 22 as substring.

Together with 2123355043, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2123355041.

It is not a weakly prime, because it can be changed into another prime (2123355043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1061677520 + 1061677521.

It is an arithmetic number, because the mean of its divisors is an integer number (1061677521).

Almost surely, 22123355041 is an apocalyptic number.

It is an amenable number.

2123355041 is a deficient number, since it is larger than the sum of its proper divisors (1).

2123355041 is an equidigital number, since it uses as much as digits as its factorization.

2123355041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3600, while the sum is 26.

The square root of 2123355041 is about 46079.8767467970. The cubic root of 2123355041 is about 1285.3089722191.

Adding to 2123355041 its reverse (1405533212), we get a palindrome (3528888253).

The spelling of 2123355041 in words is "two billion, one hundred twenty-three million, three hundred fifty-five thousand, forty-one".