Search a number
-
+
10031313106 = 213613685273
BaseRepresentation
bin10010101011110100…
…11011000011010010
3221220002200111122001
421111322123003102
5131021004004411
64335221504214
7503404516543
oct112572330322
927802614561
1010031313106
114288462011
121b3b57206a
13c3b332039
146b23944ca
153da9e5dc1
hex255e9b0d2

10031313106 has 8 divisors (see below), whose sum is σ = 15058029564. Its totient is φ = 5011969920.

The previous prime is 10031313091. The next prime is 10031313107. The reversal of 10031313106 is 60131313001.

10031313106 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 7558737481 + 2472575625 = 86941^2 + 49725^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not an unprimeable number, because it can be changed into a prime (10031313107) 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 in 3 ways as a sum of consecutive naturals, for example, 1839915 + ... + 1845358.

Almost surely, 210031313106 is an apocalyptic number.

10031313106 is a deficient number, since it is larger than the sum of its proper divisors (5026716458).

10031313106 is a wasteful number, since it uses less digits than its factorization.

10031313106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3686636.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 10031313106 its reverse (60131313001), we get a palindrome (70162626107).

The spelling of 10031313106 in words is "ten billion, thirty-one million, three hundred thirteen thousand, one hundred six".

Divisors: 1 2 1361 2722 3685273 7370546 5015656553 10031313106