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22022122001201 = 721304934441801
BaseRepresentation
bin1010000000111011011001…
…10000100101001100110001
32212222021221112202110021122
411000131230300211030301
510341302301213014301
6114500453450232025
74432021466313200
oct500355460451461
985867845673248
1022022122001201
117020590832843
122578050125615
13c398a5a44b3a
14561c3ab69237
15282ca504081b
hex14076cc25331

22022122001201 has 12 divisors (see below), whose sum is σ = 25619534417700. Its totient is φ = 18874657468800.

The previous prime is 22022122001197. The next prime is 22022122001213. The reversal of 22022122001201 is 10210022122022.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 3992323686400 + 18029798314801 = 1998080^2 + 4246151^2 .

It is not a de Polignac number, because 22022122001201 - 22 = 22022122001197 is a prime.

It is a super-2 number, since 2×220221220012012 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 22022122001201.

It is not an unprimeable number, because it can be changed into a prime (22022122001101) 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 in 11 ways as a sum of consecutive naturals, for example, 16581500 + ... + 17860301.

It is an arithmetic number, because the mean of its divisors is an integer number (2134961201475).

Almost surely, 222022122001201 is an apocalyptic number.

It is an amenable number.

22022122001201 is a deficient number, since it is larger than the sum of its proper divisors (3597412416499).

22022122001201 is a wasteful number, since it uses less digits than its factorization.

22022122001201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34454864 (or 34454857 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 22022122001201 its reverse (10210022122022), we get a palindrome (32232144123223).

The spelling of 22022122001201 in words is "twenty-two trillion, twenty-two billion, one hundred twenty-two million, one thousand, two hundred one".

Divisors: 1 7 49 13049 91343 639401 34441801 241092607 1687648249 449431061249 3146017428743 22022122001201