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10680800189 is a prime number
BaseRepresentation
bin10011111001010000…
…00001001110111101
31000120100210212102012
421330220001032331
5133333241101224
64523502341005
7525452206103
oct117450011675
930510725365
1010680800189
1145910402a4
1220a0b8a765
131012a66717
1473473dc73
15427a3b80e
hex27ca013bd

10680800189 has 2 divisors, whose sum is σ = 10680800190. Its totient is φ = 10680800188.

The previous prime is 10680800147. The next prime is 10680800257. The reversal of 10680800189 is 98100808601.

10680800189 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., 10578122500 + 102677689 = 102850^2 + 10133^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10680800189 is a prime.

It is a super-2 number, since 2×106808001892 (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 (10680802189) 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, 5340400094 + 5340400095.

It is an arithmetic number, because the mean of its divisors is an integer number (5340400095).

Almost surely, 210680800189 is an apocalyptic number.

It is an amenable number.

10680800189 is a deficient number, since it is larger than the sum of its proper divisors (1).

10680800189 is an equidigital number, since it uses as much as digits as its factorization.

10680800189 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27648, while the sum is 41.

The spelling of 10680800189 in words is "ten billion, six hundred eighty million, eight hundred thousand, one hundred eighty-nine".