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10110001093 is a prime number
BaseRepresentation
bin10010110101001101…
…00101111111000101
3222002120202021020221
421122212211333011
5131201130013333
64351112224341
7505351406563
oct113246457705
928076667227
1010110001093
114318917505
121b6199b0b1
13c5172318a
146bc9d8a33
153e288ad2d
hex25a9a5fc5

10110001093 has 2 divisors, whose sum is σ = 10110001094. Its totient is φ = 10110001092.

The previous prime is 10110001073. The next prime is 10110001157. The reversal of 10110001093 is 39010001101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8457009444 + 1652991649 = 91962^2 + 40657^2 .

It is a cyclic number.

It is not a de Polignac number, because 10110001093 - 217 = 10109870021 is a prime.

It is a super-2 number, since 2×101100010932 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10110001073) 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, 5055000546 + 5055000547.

It is an arithmetic number, because the mean of its divisors is an integer number (5055000547).

Almost surely, 210110001093 is an apocalyptic number.

It is an amenable number.

10110001093 is a deficient number, since it is larger than the sum of its proper divisors (1).

10110001093 is an equidigital number, since it uses as much as digits as its factorization.

10110001093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27, while the sum is 16.

Adding to 10110001093 its reverse (39010001101), we get a palindrome (49120002194).

The spelling of 10110001093 in words is "ten billion, one hundred ten million, one thousand, ninety-three".