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22225131133 is a prime number
BaseRepresentation
bin10100101100101110…
…001001011001111101
32010100220111122022221
4110230232021121331
5331004113144013
614113213405341
71414521332452
oct245456113175
963326448287
1022225131133
119475563a77
124383199851
13213269808a
14110ba25829
158a129e08d
hex52cb8967d

22225131133 has 2 divisors, whose sum is σ = 22225131134. Its totient is φ = 22225131132.

The previous prime is 22225131107. The next prime is 22225131161. The reversal of 22225131133 is 33113152222.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 22149475929 + 75655204 = 148827^2 + 8698^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-22225131133 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22225131098 and 22225131107.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22225131163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11112565566 + 11112565567.

It is an arithmetic number, because the mean of its divisors is an integer number (11112565567).

Almost surely, 222225131133 is an apocalyptic number.

It is an amenable number.

22225131133 is a deficient number, since it is larger than the sum of its proper divisors (1).

22225131133 is an equidigital number, since it uses as much as digits as its factorization.

22225131133 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2160, while the sum is 25.

Adding to 22225131133 its reverse (33113152222), we get a palindrome (55338283355).

The spelling of 22225131133 in words is "twenty-two billion, two hundred twenty-five million, one hundred thirty-one thousand, one hundred thirty-three".