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2213223233101 is a prime number
BaseRepresentation
bin100000001101001110011…
…000100111011001001101
321211120201022222101011121
4200031032120213121031
5242230140121424401
64412423554520541
7315620510040046
oct40151630473115
97746638871147
102213223233101
117836938a8801
122b8b2bb96151
1313092428541a
1479198c098cd
153c88729bca1
hex2034e62764d

2213223233101 has 2 divisors, whose sum is σ = 2213223233102. Its totient is φ = 2213223233100.

The previous prime is 2213223233087. The next prime is 2213223233119. The reversal of 2213223233101 is 1013323223122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1618009440100 + 595213793001 = 1272010^2 + 771501^2 .

It is a cyclic number.

It is not a de Polignac number, because 2213223233101 - 213 = 2213223224909 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2213223233141) 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, 1106611616550 + 1106611616551.

It is an arithmetic number, because the mean of its divisors is an integer number (1106611616551).

Almost surely, 22213223233101 is an apocalyptic number.

It is an amenable number.

2213223233101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2213223233101 is an equidigital number, since it uses as much as digits as its factorization.

2213223233101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 2213223233101 its reverse (1013323223122), we get a palindrome (3226546456223).

The spelling of 2213223233101 in words is "two trillion, two hundred thirteen billion, two hundred twenty-three million, two hundred thirty-three thousand, one hundred one".