Search a number
-
+
2200012202021 is a prime number
BaseRepresentation
bin100000000000111010111…
…100100010000000100101
321210022121122002110111012
4200000322330202000211
5242021111110431041
64402401024352005
7314642232112334
oct40007274420045
97708548073435
102200012202021
117790245965a7
122b6463775605
1312c5ca26647a
14786a4429d1b
153c3625623eb
hex2003af22025

2200012202021 has 2 divisors, whose sum is σ = 2200012202022. Its totient is φ = 2200012202020.

The previous prime is 2200012202009. The next prime is 2200012202023. The reversal of 2200012202021 is 1202022100022.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2115555705025 + 84456496996 = 1454495^2 + 290614^2 .

It is a cyclic number.

It is not a de Polignac number, because 2200012202021 - 218 = 2200011939877 is a prime.

Together with 2200012202023, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 2200012201987 and 2200012202005.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2200012202023) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1100006101010 + 1100006101011.

It is an arithmetic number, because the mean of its divisors is an integer number (1100006101011).

Almost surely, 22200012202021 is an apocalyptic number.

It is an amenable number.

2200012202021 is a deficient number, since it is larger than the sum of its proper divisors (1).

2200012202021 is an equidigital number, since it uses as much as digits as its factorization.

2200012202021 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 2200012202021 its reverse (1202022100022), we get a palindrome (3402034302043).

The spelling of 2200012202021 in words is "two trillion, two hundred billion, twelve million, two hundred two thousand, twenty-one".