Search a number
-
+
2123244310417 is a prime number
BaseRepresentation
bin11110111001011011001…
…110010000111110010001
321111222110112202111200121
4132321123032100332101
5234241401020413132
64303223250150241
7306253654600306
oct36713316207621
97458415674617
102123244310417
1174951007338a
122a35ba282381
131252b4932a39
1474aa0a370ad
153a36cbd5497
hex1ee5b390f91

2123244310417 has 2 divisors, whose sum is σ = 2123244310418. Its totient is φ = 2123244310416.

The previous prime is 2123244310379. The next prime is 2123244310433. The reversal of 2123244310417 is 7140134423212.

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., 2049681852241 + 73562458176 = 1431671^2 + 271224^2 .

It is a cyclic number.

It is not a de Polignac number, because 2123244310417 - 27 = 2123244310289 is a prime.

It is not a weakly prime, because it can be changed into another prime (2123244310217) 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, 1061622155208 + 1061622155209.

It is an arithmetic number, because the mean of its divisors is an integer number (1061622155209).

Almost surely, 22123244310417 is an apocalyptic number.

It is an amenable number.

2123244310417 is a deficient number, since it is larger than the sum of its proper divisors (1).

2123244310417 is an equidigital number, since it uses as much as digits as its factorization.

2123244310417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32256, while the sum is 34.

Adding to 2123244310417 its reverse (7140134423212), we get a palindrome (9263378733629).

The spelling of 2123244310417 in words is "two trillion, one hundred twenty-three billion, two hundred forty-four million, three hundred ten thousand, four hundred seventeen".