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22112211022249 is a prime number
BaseRepresentation
bin1010000011100011001100…
…11110111011000110101001
32220021220111000010220022211
411001301212132323012221
510344241302010202444
6115010113130445121
74441361126334265
oct501614636730651
986256430126284
1022112211022249
117055810726747
1225915b28937a1
13c4523213559a
145663457db0a5
152852c9103c34
hex141c667bb1a9

22112211022249 has 2 divisors, whose sum is σ = 22112211022250. Its totient is φ = 22112211022248.

The previous prime is 22112211022211. The next prime is 22112211022309. The reversal of 22112211022249 is 94222011221122.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11367956289600 + 10744254732649 = 3371640^2 + 3277843^2 .

It is a cyclic number.

It is not a de Polignac number, because 22112211022249 - 239 = 21562455208361 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 22112211022249.

It is not a weakly prime, because it can be changed into another prime (22112211028249) 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, 11056105511124 + 11056105511125.

It is an arithmetic number, because the mean of its divisors is an integer number (11056105511125).

Almost surely, 222112211022249 is an apocalyptic number.

It is an amenable number.

22112211022249 is a deficient number, since it is larger than the sum of its proper divisors (1).

22112211022249 is an equidigital number, since it uses as much as digits as its factorization.

22112211022249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4608, while the sum is 31.

The spelling of 22112211022249 in words is "twenty-two trillion, one hundred twelve billion, two hundred eleven million, twenty-two thousand, two hundred forty-nine".