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20002202211301 is a prime number
BaseRepresentation
bin1001000110001001000000…
…01010000101001111100101
32121211012011212022102122021
410203010200022011033211
510110204002231230201
6110312515043103141
74133053134350662
oct443044012051745
977735155272567
1020002202211301
116411982767a82
1222b0689071ab1
13b2127960aa4b
144d217c912a69
1524a48338cea1
hex1231202853e5

20002202211301 has 2 divisors, whose sum is σ = 20002202211302. Its totient is φ = 20002202211300.

The previous prime is 20002202211097. The next prime is 20002202211323. The reversal of 20002202211301 is 10311220220002.

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., 13722216331201 + 6279985880100 = 3704351^2 + 2505990^2 .

It is a cyclic number.

It is not a de Polignac number, because 20002202211301 - 217 = 20002202080229 is a prime.

It is a super-3 number, since 3×200022022113013 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20002202211701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10001101105650 + 10001101105651.

It is an arithmetic number, because the mean of its divisors is an integer number (10001101105651).

Almost surely, 220002202211301 is an apocalyptic number.

It is an amenable number.

20002202211301 is a deficient number, since it is larger than the sum of its proper divisors (1).

20002202211301 is an equidigital number, since it uses as much as digits as its factorization.

20002202211301 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 20002202211301 its reverse (10311220220002), we get a palindrome (30313422431303).

The spelling of 20002202211301 in words is "twenty trillion, two billion, two hundred two million, two hundred eleven thousand, three hundred one".