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20002122211221 = 322222458023469
BaseRepresentation
bin1001000110001000110110…
…11000111001111110010101
32121211011222021210000011100
410203010123120321332111
510110203321241224341
6110312503104300313
74133051143354413
oct443043330717625
977734867700140
1020002122211221
116411941596807
1222b0666311699
13b21265b7a617
144d217204a2b3
1524a47b3393b6
hex12311b639f95

20002122211221 has 6 divisors (see below), whose sum is σ = 28891954305110. Its totient is φ = 13334748140808.

The previous prime is 20002122211199. The next prime is 20002122211229. The reversal of 20002122211221 is 12211222120002.

It is a happy number.

20002122211221 is a `hidden beast` number, since 20 + 0 + 0 + 212 + 2 + 211 + 221 = 666.

It can be written as a sum of positive squares in only one way, i.e., 19202011640100 + 800110571121 = 4382010^2 + 894489^2 .

It is not a de Polignac number, because 20002122211221 - 29 = 20002122210709 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 20002122211194 and 20002122211203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20002122211229) 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 5 ways as a sum of consecutive naturals, for example, 1111229011726 + ... + 1111229011743.

Almost surely, 220002122211221 is an apocalyptic number.

It is an amenable number.

20002122211221 is a deficient number, since it is larger than the sum of its proper divisors (8889832093889).

20002122211221 is a wasteful number, since it uses less digits than its factorization.

20002122211221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2222458023475 (or 2222458023472 counting only the distinct ones).

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

Adding to 20002122211221 its reverse (12211222120002), we get a palindrome (32213344331223).

The spelling of 20002122211221 in words is "twenty trillion, two billion, one hundred twenty-two million, two hundred eleven thousand, two hundred twenty-one".

Divisors: 1 3 9 2222458023469 6667374070407 20002122211221