Search a number
-
+
13106293 is a prime number
BaseRepresentation
bin110001111111…
…110001110101
3220122212110021
4301333301311
511323400133
61144525141
7216254524
oct61776165
926585407
1013106293
117441a52
1244807b1
13293b705
141a524bb
15123d52d
hexc7fc75

13106293 has 2 divisors, whose sum is σ = 13106294. Its totient is φ = 13106292.

The previous prime is 13106287. The next prime is 13106329. The reversal of 13106293 is 39260131.

Together with next prime (13106329) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12794929 + 311364 = 3577^2 + 558^2 .

It is an emirp because it is prime and its reverse (39260131) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13106293 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13106243) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6553146 + 6553147.

It is an arithmetic number, because the mean of its divisors is an integer number (6553147).

Almost surely, 213106293 is an apocalyptic number.

It is an amenable number.

13106293 is a deficient number, since it is larger than the sum of its proper divisors (1).

13106293 is an equidigital number, since it uses as much as digits as its factorization.

13106293 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 972, while the sum is 25.

The square root of 13106293 is about 3620.2614546466. The cubic root of 13106293 is about 235.7725772840.

It can be divided in two parts, 1310 and 6293, that multiplied together give a triangular number (8243830 = T4060).

The spelling of 13106293 in words is "thirteen million, one hundred six thousand, two hundred ninety-three".