Search a number
-
+
12222210101 is a prime number
BaseRepresentation
bin10110110001000000…
…00010000000110101
31011112210020121022012
423120200002000311
5200012341210401
65340444214005
7611610033413
oct133040020065
934483217265
1012222210101
115202134392
12245123a305
1311ca1c71aa
1483d3422b3
154b80158bb
hex2d8802035

12222210101 has 2 divisors, whose sum is σ = 12222210102. Its totient is φ = 12222210100.

The previous prime is 12222210079. The next prime is 12222210113. The reversal of 12222210101 is 10101222221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11497200625 + 725009476 = 107225^2 + 26926^2 .

It is an emirp because it is prime and its reverse (10101222221) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12222210101 - 214 = 12222193717 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12222210131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6111105050 + 6111105051.

It is an arithmetic number, because the mean of its divisors is an integer number (6111105051).

Almost surely, 212222210101 is an apocalyptic number.

It is an amenable number.

12222210101 is a deficient number, since it is larger than the sum of its proper divisors (1).

12222210101 is an equidigital number, since it uses as much as digits as its factorization.

12222210101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 12222210101 its reverse (10101222221), we get a palindrome (22323432322).

The spelling of 12222210101 in words is "twelve billion, two hundred twenty-two million, two hundred ten thousand, one hundred one".