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22444100440021 = 133313793765657
BaseRepresentation
bin1010001101001101011001…
…01000100100111111010101
32221110122010221122012101001
411012212230220210333111
510420211004203040041
6115422402152503301
74504350506002261
oct506465450447725
987418127565331
1022444100440021
117173542644567
1226259979aab31
13c6a6148c6260
1457842bc990a1
1528dc51209131
hex1469aca24fd5

22444100440021 has 16 divisors (see below), whose sum is σ = 24181279892784. Its totient is φ = 20708452859904.

The previous prime is 22444100439979. The next prime is 22444100440033. The reversal of 22444100440021 is 12004400144422.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 10551361937796 + 11892738502225 = 3248286^2 + 3448585^2 .

It is a cyclic number.

It is not a de Polignac number, because 22444100440021 - 223 = 22444092051413 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22444100440051) 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 in 15 ways as a sum of consecutive naturals, for example, 341805825 + ... + 341871481.

It is an arithmetic number, because the mean of its divisors is an integer number (1511329993299).

Almost surely, 222444100440021 is an apocalyptic number.

It is an amenable number.

22444100440021 is a deficient number, since it is larger than the sum of its proper divisors (1737179452763).

22444100440021 is a wasteful number, since it uses less digits than its factorization.

22444100440021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76920.

The product of its (nonzero) digits is 8192, while the sum is 28.

Adding to 22444100440021 its reverse (12004400144422), we get a palindrome (34448500584443).

The spelling of 22444100440021 in words is "twenty-two trillion, four hundred forty-four billion, one hundred million, four hundred forty thousand, twenty-one".

Divisors: 1 13 3313 7937 43069 65657 103181 853541 26295281 217521641 341838653 521119609 2827781333 6774554917 1726469264617 22444100440021