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202200011022013 is a prime number
BaseRepresentation
bin101101111110011001011011…
…110101001001111010111101
3222111221010120102111120101121
4231332121123311021322331
5203000321110310201023
61554013222552510541
760406316524413664
oct5576313365117275
9874833512446347
10202200011022013
11594775a7973334
121a8178726ab451
1388a94c1201204
1437d0765c23ddb
151859a4646bd5d
hexb7e65bd49ebd

202200011022013 has 2 divisors, whose sum is σ = 202200011022014. Its totient is φ = 202200011022012.

The previous prime is 202200011021977. The next prime is 202200011022019. The reversal of 202200011022013 is 310220110002202.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 199671538948324 + 2528472073689 = 14130518^2 + 1590117^2 .

It is a cyclic number.

It is not a de Polignac number, because 202200011022013 - 245 = 167015638933181 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (202200011022019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 101100005511006 + 101100005511007.

It is an arithmetic number, because the mean of its divisors is an integer number (101100005511007).

Almost surely, 2202200011022013 is an apocalyptic number.

It is an amenable number.

202200011022013 is a deficient number, since it is larger than the sum of its proper divisors (1).

202200011022013 is an equidigital number, since it uses as much as digits as its factorization.

202200011022013 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 202200011022013 its reverse (310220110002202), we get a palindrome (512420121024215).

The spelling of 202200011022013 in words is "two hundred two trillion, two hundred billion, eleven million, twenty-two thousand, thirteen".