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20002122221 is a prime number
BaseRepresentation
bin10010101000001110…
…000010100111101101
31220121222112002101112
4102220032002213231
5311431020402341
613104442521405
71305446143064
oct225016024755
956558462345
1020002122221
118534749524
123a62806265
131b69c6b8a3
14d7a6b91db
157c1039aeb
hex4a83829ed

20002122221 has 2 divisors, whose sum is σ = 20002122222. Its totient is φ = 20002122220.

The previous prime is 20002122211. The next prime is 20002122233. The reversal of 20002122221 is 12222120002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 19603920196 + 398202025 = 140014^2 + 19955^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-20002122221 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 20002122196 and 20002122205.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20002122211) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10001061110 + 10001061111.

It is an arithmetic number, because the mean of its divisors is an integer number (10001061111).

Almost surely, 220002122221 is an apocalyptic number.

It is an amenable number.

20002122221 is a deficient number, since it is larger than the sum of its proper divisors (1).

20002122221 is an equidigital number, since it uses as much as digits as its factorization.

20002122221 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 20002122221 its reverse (12222120002), we get a palindrome (32224242223).

It can be divided in two parts, 20002 and 122221, that multiplied together give a palindrome (2444664442).

The spelling of 20002122221 in words is "twenty billion, two million, one hundred twenty-two thousand, two hundred twenty-one".