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22122122210001 = 32112191069166411
BaseRepresentation
bin1010000011110101101010…
…01111000110101011010001
32220022212001201210101221200
411001322311033012223101
510344422101241210001
6115014432421541413
74442161545131352
oct501726517065321
986285051711850
1022122122210001
117059a372a0800
1225934b9b74869
13c461515c8618
14566a05c41d29
152856a92bc086
hex141eb53c6ad1

22122122210001 has 36 divisors (see below), whose sum is σ = 36971774526960. Its totient is φ = 12701696950800.

The previous prime is 22122122209987. The next prime is 22122122210053. The reversal of 22122122210001 is 10001222122122.

It is a happy number.

22122122210001 is a `hidden beast` number, since 221 + 221 + 2 + 221 + 0 + 0 + 0 + 1 = 666.

It is a de Polignac number, because none of the positive numbers 2k-22122122210001 is a prime.

It is not an unprimeable number, because it can be changed into a prime (22122122210401) 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 35 ways as a sum of consecutive naturals, for example, 534562515 + ... + 534603896.

It is an arithmetic number, because the mean of its divisors is an integer number (1026993736860).

Almost surely, 222122122210001 is an apocalyptic number.

It is an amenable number.

22122122210001 is a deficient number, since it is larger than the sum of its proper divisors (14849652316959).

22122122210001 is a wasteful number, since it uses less digits than its factorization.

22122122210001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1069166458 (or 1069166444 counting only the distinct ones).

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

Adding to 22122122210001 its reverse (10001222122122), we get a palindrome (32123344332123).

The spelling of 22122122210001 in words is "twenty-two trillion, one hundred twenty-two billion, one hundred twenty-two million, two hundred ten thousand, one".

Divisors: 1 3 9 11 19 33 57 99 121 171 209 363 627 1089 1881 2299 6897 20691 1069166411 3207499233 9622497699 11760830521 20314161809 35282491563 60942485427 105847474689 129369135731 182827456281 223455779899 388107407193 670367339697 1164322221579 2011102019091 2458013578889 7374040736667 22122122210001