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1100331322201 is a prime number
BaseRepresentation
bin10000000000110000110…
…110111000101101011001
310220012010222111200100101
4100000300312320231121
5121011434304302301
62201252450535401
7142332143630326
oct20006066705531
93805128450311
101100331322201
113947143892a1
12159302897561
137c9b7621b07
143b3834b1b4d
151d94eaea701
hex10030db8b59

1100331322201 has 2 divisors, whose sum is σ = 1100331322202. Its totient is φ = 1100331322200.

The previous prime is 1100331322199. The next prime is 1100331322303. The reversal of 1100331322201 is 1022231330011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1093647442176 + 6683880025 = 1045776^2 + 81755^2 .

It is a cyclic number.

It is not a de Polignac number, because 1100331322201 - 21 = 1100331322199 is a prime.

Together with 1100331322199, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (1100331382201) 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, 550165661100 + 550165661101.

It is an arithmetic number, because the mean of its divisors is an integer number (550165661101).

Almost surely, 21100331322201 is an apocalyptic number.

It is an amenable number.

1100331322201 is a deficient number, since it is larger than the sum of its proper divisors (1).

1100331322201 is an equidigital number, since it uses as much as digits as its factorization.

1100331322201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 1100331322201 its reverse (1022231330011), we get a palindrome (2122562652212).

The spelling of 1100331322201 in words is "one trillion, one hundred billion, three hundred thirty-one million, three hundred twenty-two thousand, two hundred one".