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202122012013 is a prime number
BaseRepresentation
bin1011110000111101101…
…0010010010101101101
3201022201020020001201221
42330033122102111231
511302421213341023
6232504212103341
720413525516645
oct2741732222555
9638636201657
10202122012013
11787a0674239
123320a304b51
13160a1b4619c
149ad5c5b525
1553ce8d885d
hex2f0f69256d

202122012013 has 2 divisors, whose sum is σ = 202122012014. Its totient is φ = 202122012012.

The previous prime is 202122011981. The next prime is 202122012049. The reversal of 202122012013 is 310210221202.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 158262343684 + 43859668329 = 397822^2 + 209427^2 .

It is a cyclic number.

It is not a de Polignac number, because 202122012013 - 25 = 202122011981 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (202122016013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 101061006006 + 101061006007.

It is an arithmetic number, because the mean of its divisors is an integer number (101061006007).

Almost surely, 2202122012013 is an apocalyptic number.

It is an amenable number.

202122012013 is a deficient number, since it is larger than the sum of its proper divisors (1).

202122012013 is an equidigital number, since it uses as much as digits as its factorization.

202122012013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 202122012013 its reverse (310210221202), we get a palindrome (512332233215).

The spelling of 202122012013 in words is "two hundred two billion, one hundred twenty-two million, twelve thousand, thirteen".