Search a number
-
+
22122201221001 = 35713005409301
BaseRepresentation
bin1010000011110101110011…
…11100100000011110001001
32220022212021020110120200000
411001322321330200132021
510344422232003033001
6115014444323233213
74442163524535210
oct501727174403611
986285236416600
1022122201221001
117059a77956952
122593520518809
13c46164aa07ab
14566a1252c077
152856b11c7a86
hex141eb9f20789

22122201221001 has 24 divisors (see below), whose sum is σ = 37871751887424. Its totient is φ = 12641257839600.

The previous prime is 22122201220997. The next prime is 22122201221023. The reversal of 22122201221001 is 10012210222122.

It is a happy number.

22122201221001 is a `hidden beast` number, since 221 + 2 + 220 + 1 + 221 + 0 + 0 + 1 = 666.

It is not a de Polignac number, because 22122201221001 - 22 = 22122201220997 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (22122201221041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6502702950 + ... + 6502706351.

It is an arithmetic number, because the mean of its divisors is an integer number (1577989661976).

Almost surely, 222122201221001 is an apocalyptic number.

22122201221001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

22122201221001 is a deficient number, since it is larger than the sum of its proper divisors (15749550666423).

22122201221001 is an equidigital number, since it uses as much as digits as its factorization.

22122201221001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13005409323 (or 13005409311 counting only the distinct ones).

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

Adding to 22122201221001 its reverse (10012210222122), we get a palindrome (32134411443123).

The spelling of 22122201221001 in words is "twenty-two trillion, one hundred twenty-two billion, two hundred one million, two hundred twenty-one thousand, one".

Divisors: 1 3 7 9 21 27 63 81 189 243 567 1701 13005409301 39016227903 91037865107 117048683709 273113595321 351146051127 819340785963 1053438153381 2458022357889 3160314460143 7374067073667 22122201221001