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2232404222101 is a prime number
BaseRepresentation
bin100000011111000101101…
…010010010000010010101
321220102020002101120112121
4200133011222102002111
5243033430440101401
64425315150015541
7320200025540554
oct40370552220225
97812202346477
102232404222101
11790836a91729
123007a37a75b1
13132690081c61
147a098417d9b
153d10b187ca1
hex207c5a92095

2232404222101 has 2 divisors, whose sum is σ = 2232404222102. Its totient is φ = 2232404222100.

The previous prime is 2232404222039. The next prime is 2232404222107. The reversal of 2232404222101 is 1012224042322.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1626262562500 + 606141659601 = 1275250^2 + 778551^2 .

It is a cyclic number.

It is not a de Polignac number, because 2232404222101 - 27 = 2232404221973 is a prime.

It is a super-3 number, since 3×22324042221013 (a number of 38 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 (2232404222107) 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, 1116202111050 + 1116202111051.

It is an arithmetic number, because the mean of its divisors is an integer number (1116202111051).

Almost surely, 22232404222101 is an apocalyptic number.

It is an amenable number.

2232404222101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2232404222101 is an equidigital number, since it uses as much as digits as its factorization.

2232404222101 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 25.

Adding to 2232404222101 its reverse (1012224042322), we get a palindrome (3244628264423).

The spelling of 2232404222101 in words is "two trillion, two hundred thirty-two billion, four hundred four million, two hundred twenty-two thousand, one hundred one".