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1100023313033 is a prime number
BaseRepresentation
bin10000000000011110011…
…111111011001010001001
310220011100111221012012102
4100000132133323022021
5121010321432004113
62201202125123145
7142321413612401
oct20003637731211
93804314835172
101100023313033
11394576534467
121592376b94b5
137c96887b678
143b354615801
151d932a58758
hex1001e7fb289

1100023313033 has 2 divisors, whose sum is σ = 1100023313034. Its totient is φ = 1100023313032.

The previous prime is 1100023313009. The next prime is 1100023313089. The reversal of 1100023313033 is 3303133200011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 996668778889 + 103354534144 = 998333^2 + 321488^2 .

It is a cyclic number.

It is not a de Polignac number, because 1100023313033 - 210 = 1100023312009 is a prime.

It is a super-3 number, since 3×11000233130333 (a number of 37 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1100023312996 and 1100023313014.

It is not a weakly prime, because it can be changed into another prime (1100023316033) 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, 550011656516 + 550011656517.

It is an arithmetic number, because the mean of its divisors is an integer number (550011656517).

Almost surely, 21100023313033 is an apocalyptic number.

It is an amenable number.

1100023313033 is a deficient number, since it is larger than the sum of its proper divisors (1).

1100023313033 is an equidigital number, since it uses as much as digits as its factorization.

1100023313033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 1100023313033 its reverse (3303133200011), we get a palindrome (4403156513044).

The spelling of 1100023313033 in words is "one trillion, one hundred billion, twenty-three million, three hundred thirteen thousand, thirty-three".