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2122221133 is a prime number
BaseRepresentation
bin111111001111110…
…1000011001001101
312110220100000002201
41332133220121031
513321242034013
6550330321501
7103406403424
oct17637503115
95426300081
102122221133
11999a3616a
124b2889291
1327a89b266
14161bd22bb
15c64a63dd
hex7e7e864d

2122221133 has 2 divisors, whose sum is σ = 2122221134. Its totient is φ = 2122221132.

The previous prime is 2122221083. The next prime is 2122221139. The reversal of 2122221133 is 3311222212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2112505444 + 9715689 = 45962^2 + 3117^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2122221133 is a prime.

It is a super-3 number, since 3×21222211333 (a number of 29 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2122221133.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2122221139) 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, 1061110566 + 1061110567.

It is an arithmetic number, because the mean of its divisors is an integer number (1061110567).

Almost surely, 22122221133 is an apocalyptic number.

It is an amenable number.

2122221133 is a deficient number, since it is larger than the sum of its proper divisors (1).

2122221133 is an equidigital number, since it uses as much as digits as its factorization.

2122221133 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 288, while the sum is 19.

The square root of 2122221133 is about 46067.5713816129. The cubic root of 2122221133 is about 1285.0801391374.

Adding to 2122221133 its reverse (3311222212), we get a palindrome (5433443345).

The spelling of 2122221133 in words is "two billion, one hundred twenty-two million, two hundred twenty-one thousand, one hundred thirty-three".