Search a number
-
+
2123244310433 is a prime number
BaseRepresentation
bin11110111001011011001…
…110010000111110100001
321111222110112202111201012
4132321123032100332201
5234241401020413213
64303223250150305
7306253654600331
oct36713316207641
97458415674635
102123244310433
117495100733a4
122a35ba282395
131252b4932a4c
1474aa0a370c1
153a36cbd54a8
hex1ee5b390fa1

2123244310433 has 2 divisors, whose sum is σ = 2123244310434. Its totient is φ = 2123244310432.

The previous prime is 2123244310417. The next prime is 2123244310441. The reversal of 2123244310433 is 3340134423212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1908771585889 + 214472724544 = 1381583^2 + 463112^2 .

It is a cyclic number.

It is not a de Polignac number, because 2123244310433 - 24 = 2123244310417 is a prime.

It is a super-2 number, since 2×21232443104332 (a number of 25 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2123244310433.

It is not a weakly prime, because it can be changed into another prime (2123244310133) 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, 1061622155216 + 1061622155217.

It is an arithmetic number, because the mean of its divisors is an integer number (1061622155217).

Almost surely, 22123244310433 is an apocalyptic number.

It is an amenable number.

2123244310433 is a deficient number, since it is larger than the sum of its proper divisors (1).

2123244310433 is an equidigital number, since it uses as much as digits as its factorization.

2123244310433 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 32.

Adding to 2123244310433 its reverse (3340134423212), we get a palindrome (5463378733645).

The spelling of 2123244310433 in words is "two trillion, one hundred twenty-three billion, two hundred forty-four million, three hundred ten thousand, four hundred thirty-three".