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20002122112221 = 322549871894081
BaseRepresentation
bin1001000110001000110110…
…11000100001110011011101
32121211011222021120222100200
410203010123120201303131
510110203321230042341
6110312503102214113
74133051142462654
oct443043330416335
977734867528320
1020002122112221
116411941529397
1222b0666284339
13b21265b44542
144d217202219b
1524a47b319db6
hex12311b621cdd

20002122112221 has 12 divisors (see below), whose sum is σ = 28903288818300. Its totient is φ = 13329516695040.

The previous prime is 20002122112169. The next prime is 20002122112241. The reversal of 20002122112221 is 12221122120002.

It is a happy number.

20002122112221 is a `hidden beast` number, since 20 + 0 + 0 + 212 + 211 + 2 + 221 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 13031096439321 + 6971025672900 = 3609861^2 + 2640270^2 .

It is not a de Polignac number, because 20002122112221 - 221 = 20002120015069 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20002122112194 and 20002122112203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20002122112241) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 435924100 + ... + 435969981.

It is an arithmetic number, because the mean of its divisors is an integer number (2408607401525).

Almost surely, 220002122112221 is an apocalyptic number.

It is an amenable number.

20002122112221 is a deficient number, since it is larger than the sum of its proper divisors (8901166706079).

20002122112221 is a wasteful number, since it uses less digits than its factorization.

20002122112221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 871896636 (or 871896633 counting only the distinct ones).

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

Adding to 20002122112221 its reverse (12221122120002), we get a palindrome (32223244232223).

The spelling of 20002122112221 in words is "twenty trillion, two billion, one hundred twenty-two million, one hundred twelve thousand, two hundred twenty-one".

Divisors: 1 3 9 2549 7647 22941 871894081 2615682243 7847046729 2222458012469 6667374037407 20002122112221