Search a number
-
+
13112022121321 is a prime number
BaseRepresentation
bin1011111011001110000101…
…1010111011101101101001
31201102111102100212220121211
42332303201122323231221
53204311410130340241
643515325123233121
72522212063046314
oct276634132735551
951374370786554
1013112022121321
1141a5860726552
1215792458187a1
137415c60a64c6
143348a79c197b
1517b119061781
hexbece16bbb69

13112022121321 has 2 divisors, whose sum is σ = 13112022121322. Its totient is φ = 13112022121320.

The previous prime is 13112022121267. The next prime is 13112022121327. The reversal of 13112022121321 is 12312122021131.

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., 7368162798096 + 5743859323225 = 2714436^2 + 2396635^2 .

It is a cyclic number.

It is not a de Polignac number, because 13112022121321 - 233 = 13103432186729 is a prime.

It is a super-2 number, since 2×131120221213212 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13112022121292 and 13112022121301.

It is not a weakly prime, because it can be changed into another prime (13112022121327) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6556011060660 + 6556011060661.

It is an arithmetic number, because the mean of its divisors is an integer number (6556011060661).

Almost surely, 213112022121321 is an apocalyptic number.

It is an amenable number.

13112022121321 is a deficient number, since it is larger than the sum of its proper divisors (1).

13112022121321 is an equidigital number, since it uses as much as digits as its factorization.

13112022121321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 13112022121321 its reverse (12312122021131), we get a palindrome (25424144142452).

The spelling of 13112022121321 in words is "thirteen trillion, one hundred twelve billion, twenty-two million, one hundred twenty-one thousand, three hundred twenty-one".