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2213124124441 is a prime number
BaseRepresentation
bin100000001101001000011…
…110100010111100011001
321211120110102111010122111
4200031020132202330121
5242224434233440231
64412410054352321
7315615164446366
oct40151036427431
97746412433574
102213124124441
11783642965a1a
122b8b0295b6a1
13130909894549
14791899ab46d
153c87d7214b1
hex203487a2f19

2213124124441 has 2 divisors, whose sum is σ = 2213124124442. Its totient is φ = 2213124124440.

The previous prime is 2213124124439. The next prime is 2213124124469. The reversal of 2213124124441 is 1444214213122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1266986616025 + 946137508416 = 1125605^2 + 972696^2 .

It is a cyclic number.

It is not a de Polignac number, because 2213124124441 - 21 = 2213124124439 is a prime.

It is a super-3 number, since 3×22131241244413 (a number of 38 digits) contains 333 as substring.

Together with 2213124124439, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (2213124124241) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1106562062220 + 1106562062221.

It is an arithmetic number, because the mean of its divisors is an integer number (1106562062221).

Almost surely, 22213124124441 is an apocalyptic number.

It is an amenable number.

2213124124441 is a deficient number, since it is larger than the sum of its proper divisors (1).

2213124124441 is an equidigital number, since it uses as much as digits as its factorization.

2213124124441 is an evil number, because the sum of its binary digits is even.

The product of its digits is 12288, while the sum is 31.

Adding to 2213124124441 its reverse (1444214213122), we get a palindrome (3657338337563).

The spelling of 2213124124441 in words is "two trillion, two hundred thirteen billion, one hundred twenty-four million, one hundred twenty-four thousand, four hundred forty-one".