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202122002213 is a prime number
BaseRepresentation
bin1011110000111101101…
…0001111111100100101
3201022201020012120021222
42330033122033330211
511302421213032323
6232504211550125
720413525446245
oct2741732177445
9638636176258
10202122002213
11787a066793a
123320a2bb345
13160a1b418a1
149ad5c57b25
1553ce8d59c8
hex2f0f68ff25

202122002213 has 2 divisors, whose sum is σ = 202122002214. Its totient is φ = 202122002212.

The previous prime is 202122002207. The next prime is 202122002227. The reversal of 202122002213 is 312200221202.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 161718188164 + 40403814049 = 402142^2 + 201007^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-202122002213 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 202122002191 and 202122002200.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (202122002233) 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 as a sum of consecutive naturals, namely, 101061001106 + 101061001107.

It is an arithmetic number, because the mean of its divisors is an integer number (101061001107).

Almost surely, 2202122002213 is an apocalyptic number.

It is an amenable number.

202122002213 is a deficient number, since it is larger than the sum of its proper divisors (1).

202122002213 is an equidigital number, since it uses as much as digits as its factorization.

202122002213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 202122002213 its reverse (312200221202), we get a palindrome (514322223415).

The spelling of 202122002213 in words is "two hundred two billion, one hundred twenty-two million, two thousand, two hundred thirteen".