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2041443222101 is a prime number
BaseRepresentation
bin11101101101001111011…
…111111000001001010101
321020011022200120122222222
4131231033133320021111
5231421333431101401
64201454233032125
7300326603036333
oct35551737701125
97204280518888
102041443222101
11717853529a68
1228b78b255645
1311a6796196ba
1470b409c0b53
1538181545c1b
hex1db4f7f8255

2041443222101 has 2 divisors, whose sum is σ = 2041443222102. Its totient is φ = 2041443222100.

The previous prime is 2041443222083. The next prime is 2041443222139. The reversal of 2041443222101 is 1012223441402.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1972266331876 + 69176890225 = 1404374^2 + 263015^2 .

It is a cyclic number.

It is not a de Polignac number, because 2041443222101 - 214 = 2041443205717 is a prime.

It is a super-2 number, since 2×20414432221012 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2041443222151) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1020721611050 + 1020721611051.

It is an arithmetic number, because the mean of its divisors is an integer number (1020721611051).

Almost surely, 22041443222101 is an apocalyptic number.

It is an amenable number.

2041443222101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2041443222101 is an equidigital number, since it uses as much as digits as its factorization.

2041443222101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 2041443222101 its reverse (1012223441402), we get a palindrome (3053666663503).

The spelling of 2041443222101 in words is "two trillion, forty-one billion, four hundred forty-three million, two hundred twenty-two thousand, one hundred one".