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22212011322241 = 1321374021198841
BaseRepresentation
bin1010000110011101000110…
…00010110110101110000001
32220122110002021000102122221
411003032203002312232001
510402410144344302431
6115124020201331041
74451523230025106
oct503164302665601
986573067012587
1022212011322241
117094074364214
1225a8a05796a81
13c51778464430
1456b0d2116aad
15287bbaa43111
hex1433a30b6b81

22212011322241 has 16 divisors (see below), whose sum is σ = 23937893228368. Its totient is φ = 20488600857600.

The previous prime is 22212011322229. The next prime is 22212011322289. The reversal of 22212011322241 is 14222311021222.

It can be written as a sum of positive squares in 8 ways, for example, as 12215696049216 + 9996315273025 = 3495096^2 + 3161695^2 .

It is a cyclic number.

It is not a de Polignac number, because 22212011322241 - 27 = 22212011322113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22212011322541) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111607981 + ... + 111806821.

It is an arithmetic number, because the mean of its divisors is an integer number (1496118326773).

Almost surely, 222212011322241 is an apocalyptic number.

It is an amenable number.

22212011322241 is a deficient number, since it is larger than the sum of its proper divisors (1725881906127).

22212011322241 is a wasteful number, since it uses less digits than its factorization.

22212011322241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205012.

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 22212011322241 its reverse (14222311021222), we get a palindrome (36434322343463).

The spelling of 22212011322241 in words is "twenty-two trillion, two hundred twelve billion, eleven million, three hundred twenty-two thousand, two hundred forty-one".

Divisors: 1 13 2137 4021 27781 52273 198841 2584933 8592877 111707401 424923217 799539661 5524001821 10394015593 1708616255557 22212011322241