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10113423413 is a prime number
BaseRepresentation
bin10010110101100111…
…01001100000110101
3222002211012010210112
421122303221200311
5131203014022123
64351313432405
7505422452312
oct113263514065
928084163715
1010113423413
11431a844775
121b62b6b705
13c52350b12
146bd249d09
153e2d14d78
hex25ace9835

10113423413 has 2 divisors, whose sum is σ = 10113423414. Its totient is φ = 10113423412.

The previous prime is 10113423401. The next prime is 10113423421. The reversal of 10113423413 is 31432431101.

10113423413 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6426747889 + 3686675524 = 80167^2 + 60718^2 .

It is a cyclic number.

It is not a de Polignac number, because 10113423413 - 26 = 10113423349 is a prime.

It is a super-3 number, since 3×101134234133 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10113423713) 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, 5056711706 + 5056711707.

It is an arithmetic number, because the mean of its divisors is an integer number (5056711707).

Almost surely, 210113423413 is an apocalyptic number.

It is an amenable number.

10113423413 is a deficient number, since it is larger than the sum of its proper divisors (1).

10113423413 is an equidigital number, since it uses as much as digits as its factorization.

10113423413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 10113423413 its reverse (31432431101), we get a palindrome (41545854514).

The spelling of 10113423413 in words is "ten billion, one hundred thirteen million, four hundred twenty-three thousand, four hundred thirteen".