Search a number
-
+
10188313474429 is a prime number
BaseRepresentation
bin1001010001000010011011…
…0011100011010101111101
31100001222211002020221001101
42110100212303203111331
52313411131222140204
633400240244213101
72101036622434216
oct224204663432575
940058732227041
1010188313474429
113278926390622
12118669169a191
1358b9a524aabc
1427318d0b240d
1512a04c417ea4
hex94426ce357d

10188313474429 has 2 divisors, whose sum is σ = 10188313474430. Its totient is φ = 10188313474428.

The previous prime is 10188313474307. The next prime is 10188313474441. The reversal of 10188313474429 is 92447431388101.

It is a happy number.

10188313474429 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., 9147509515225 + 1040803959204 = 3024485^2 + 1020198^2 .

It is an emirp because it is prime and its reverse (92447431388101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10188313474429 - 223 = 10188305085821 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10188313474429.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10188313472429) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5094156737214 + 5094156737215.

It is an arithmetic number, because the mean of its divisors is an integer number (5094156737215).

Almost surely, 210188313474429 is an apocalyptic number.

It is an amenable number.

10188313474429 is a deficient number, since it is larger than the sum of its proper divisors (1).

10188313474429 is an equidigital number, since it uses as much as digits as its factorization.

10188313474429 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4644864, while the sum is 55.

The spelling of 10188313474429 in words is "ten trillion, one hundred eighty-eight billion, three hundred thirteen million, four hundred seventy-four thousand, four hundred twenty-nine".