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10102218073 is a prime number
BaseRepresentation
bin10010110100010001…
…11001110101011001
3222002001002211221221
421122020321311121
5131142131434243
64350233332041
7505225302553
oct113210716531
928061084857
1010102218073
114314490a62
121b5b267021
13c4cc2973c
146bb9704d3
153e1d4ebed
hex25a239d59

10102218073 has 2 divisors, whose sum is σ = 10102218074. Its totient is φ = 10102218072.

The previous prime is 10102218059. The next prime is 10102218101. The reversal of 10102218073 is 37081220101.

It is a happy number.

10102218073 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8283366169 + 1818851904 = 91013^2 + 42648^2 .

It is a cyclic number.

It is not a de Polignac number, because 10102218073 - 29 = 10102217561 is a prime.

It is not a weakly prime, because it can be changed into another prime (10102218013) 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, 5051109036 + 5051109037.

It is an arithmetic number, because the mean of its divisors is an integer number (5051109037).

Almost surely, 210102218073 is an apocalyptic number.

It is an amenable number.

10102218073 is a deficient number, since it is larger than the sum of its proper divisors (1).

10102218073 is an equidigital number, since it uses as much as digits as its factorization.

10102218073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 672, while the sum is 25.

Adding to 10102218073 its reverse (37081220101), we get a palindrome (47183438174).

The spelling of 10102218073 in words is "ten billion, one hundred two million, two hundred eighteen thousand, seventy-three".