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22221220112001 = 3212250920153821
BaseRepresentation
bin1010000110101110001111…
…11011100110011010000001
32220200022212000222102101100
411003113013323212122001
510403033024322041001
6115132142041525013
74452300356322501
oct503270773463201
986608760872340
1022221220112001
117097a6a4a1269
1225aa7557a3769
13c525b5258761
1456b72715ba01
15288059213586
hex1435c7ee6681

22221220112001 has 12 divisors (see below), whose sum is σ = 32097581531860. Its totient is φ = 14814025083360.

The previous prime is 22221220111999. The next prime is 22221220112051. The reversal of 22221220112001 is 10021102212222.

It is a happy number.

22221220112001 is a `hidden beast` number, since 22 + 221 + 220 + 1 + 1 + 200 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 21169651900401 + 1051568211600 = 4601049^2 + 1025460^2 .

It is not a de Polignac number, because 22221220112001 - 21 = 22221220111999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22221220112051) 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 11 ways as a sum of consecutive naturals, for example, 8974330 + ... + 11179491.

Almost surely, 222221220112001 is an apocalyptic number.

It is an amenable number.

22221220112001 is a deficient number, since it is larger than the sum of its proper divisors (9876361419859).

22221220112001 is a wasteful number, since it uses less digits than its factorization.

22221220112001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20276336 (or 20276333 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 22221220112001 its reverse (10021102212222), we get a palindrome (32242322324223).

The spelling of 22221220112001 in words is "twenty-two trillion, two hundred twenty-one billion, two hundred twenty million, one hundred twelve thousand, one".

Divisors: 1 3 9 122509 367527 1102581 20153821 60461463 181384389 2469024456889 7407073370667 22221220112001