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2042262244201 is a prime number
BaseRepresentation
bin11101101110000000010…
…100001100101101101001
321020020102202201022002211
4131232000110030231221
5231430023113303301
64202111411325121
7300356106440014
oct35560024145551
97206382638084
102042262244201
11718133882433
1228b9795b07a1
1311a77a1cc86a
1470bbb69c37b
15381cd3c9051
hex1db8050cb69

2042262244201 has 2 divisors, whose sum is σ = 2042262244202. Its totient is φ = 2042262244200.

The previous prime is 2042262244199. The next prime is 2042262244207. The reversal of 2042262244201 is 1024422622402.

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., 1764317132176 + 277945112025 = 1328276^2 + 527205^2 .

It is a cyclic number.

It is not a de Polignac number, because 2042262244201 - 21 = 2042262244199 is a prime.

Together with 2042262244199, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (2042262244207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1021131122100 + 1021131122101.

It is an arithmetic number, because the mean of its divisors is an integer number (1021131122101).

Almost surely, 22042262244201 is an apocalyptic number.

It is an amenable number.

2042262244201 is a deficient number, since it is larger than the sum of its proper divisors (1).

2042262244201 is an equidigital number, since it uses as much as digits as its factorization.

2042262244201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24576, while the sum is 31.

Adding to 2042262244201 its reverse (1024422622402), we get a palindrome (3066684866603).

The spelling of 2042262244201 in words is "two trillion, forty-two billion, two hundred sixty-two million, two hundred forty-four thousand, two hundred one".