Search a number
-
+
12211102010137 is a prime number
BaseRepresentation
bin1011000110110001111001…
…1001011100101100011001
31121020100222200202100010111
42301230132121130230121
53100031314103311022
641545411450444321
72400136330336012
oct261543631345431
947210880670114
1012211102010137
113988776818598
1214527154336a1
136a766ab01b14
14303040326009
1516298ad84477
hexb1b1e65cb19

12211102010137 has 2 divisors, whose sum is σ = 12211102010138. Its totient is φ = 12211102010136.

The previous prime is 12211102010119. The next prime is 12211102010143. The reversal of 12211102010137 is 73101020111221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12205653208281 + 5448801856 = 3493659^2 + 73816^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12211102010137 is a prime.

It is a super-2 number, since 2×122111020101372 (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12211102010147) 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, 6105551005068 + 6105551005069.

It is an arithmetic number, because the mean of its divisors is an integer number (6105551005069).

Almost surely, 212211102010137 is an apocalyptic number.

It is an amenable number.

12211102010137 is a deficient number, since it is larger than the sum of its proper divisors (1).

12211102010137 is an equidigital number, since it uses as much as digits as its factorization.

12211102010137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 168, while the sum is 22.

Adding to 12211102010137 its reverse (73101020111221), we get a palindrome (85312122121358).

The spelling of 12211102010137 in words is "twelve trillion, two hundred eleven billion, one hundred two million, ten thousand, one hundred thirty-seven".