Search a number
-
+
106868313 = 3214979693
BaseRepresentation
bin1100101111010…
…10111001011001
321110002110202200
412113222321121
5204324241223
614334320413
72435236266
oct627527131
9243073680
10106868313
1155362822
122b959109
13191a9ab6
141029c26d
1595aea43
hex65eae59

106868313 has 12 divisors (see below), whose sum is σ = 155403300. Its totient is φ = 70766496.

The previous prime is 106868309. The next prime is 106868323. The reversal of 106868313 is 313868601.

It can be written as a sum of positive squares in 2 ways, for example, as 67026969 + 39841344 = 8187^2 + 6312^2 .

It is not a de Polignac number, because 106868313 - 22 = 106868309 is a prime.

It is a super-2 number, since 2×1068683132 = 22841672646931938, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106868303) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38506 + ... + 41187.

It is an arithmetic number, because the mean of its divisors is an integer number (12950275).

Almost surely, 2106868313 is an apocalyptic number.

It is an amenable number.

106868313 is a deficient number, since it is larger than the sum of its proper divisors (48534987).

106868313 is a wasteful number, since it uses less digits than its factorization.

106868313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79848 (or 79845 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 106868313 is about 10337.7131416963. The cubic root of 106868313 is about 474.5511001843.

The spelling of 106868313 in words is "one hundred six million, eight hundred sixty-eight thousand, three hundred thirteen".

Divisors: 1 3 9 149 447 1341 79693 239079 717237 11874257 35622771 106868313