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102110044033 is a prime number
BaseRepresentation
bin101111100011000111…
…0111001111110000001
3100202120020001200111201
41133012032321332001
53133110132402113
6114524140341201
710243245024244
oct1370616717601
9322506050451
10102110044033
113a339504448
1217958544801
139823a061ca
144d293a325b
1529c95d7cdd
hex17c63b9f81

102110044033 has 2 divisors, whose sum is σ = 102110044034. Its totient is φ = 102110044032.

The previous prime is 102110044031. The next prime is 102110044051. The reversal of 102110044033 is 330440011201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100022285169 + 2087758864 = 316263^2 + 45692^2 .

It is a cyclic number.

It is not a de Polignac number, because 102110044033 - 21 = 102110044031 is a prime.

It is a super-3 number, since 3×1021100440333 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 102110044031, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 102110044033.

It is not a weakly prime, because it can be changed into another prime (102110044031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51055022016 + 51055022017.

It is an arithmetic number, because the mean of its divisors is an integer number (51055022017).

Almost surely, 2102110044033 is an apocalyptic number.

It is an amenable number.

102110044033 is a deficient number, since it is larger than the sum of its proper divisors (1).

102110044033 is an equidigital number, since it uses as much as digits as its factorization.

102110044033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 102110044033 its reverse (330440011201), we get a palindrome (432550055234).

The spelling of 102110044033 in words is "one hundred two billion, one hundred ten million, forty-four thousand, thirty-three".