Search a number
-
+
131010313 = 7172937963
BaseRepresentation
bin1111100111100…
…00111100001001
3100010112000100211
413303300330021
5232014312223
621000001121
73150366160
oct763607411
9303460324
10131010313
1167a51a95
1237a601a1
13211b05c5
14135843d7
15b77cd0d
hex7cf0f09

131010313 has 16 divisors (see below), whose sum is σ = 164004480. Its totient is φ = 102041856.

The previous prime is 131010311. The next prime is 131010317. The reversal of 131010313 is 313010131.

It is a happy number.

It is not a de Polignac number, because 131010313 - 21 = 131010311 is a prime.

It is a super-2 number, since 2×1310103132 = 34327404224715938, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131010293 and 131010302.

It is not an unprimeable number, because it can be changed into a prime (131010311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15531 + ... + 22432.

It is an arithmetic number, because the mean of its divisors is an integer number (10250280).

Almost surely, 2131010313 is an apocalyptic number.

It is an amenable number.

131010313 is a deficient number, since it is larger than the sum of its proper divisors (32994167).

131010313 is a wasteful number, since it uses less digits than its factorization.

131010313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38016.

The product of its (nonzero) digits is 27, while the sum is 13.

The square root of 131010313 is about 11445.9736588898. The cubic root of 131010313 is about 507.8886349904. Note that the first 3 decimals are identical.

Adding to 131010313 its reverse (313010131), we get a palindrome (444020444).

The spelling of 131010313 in words is "one hundred thirty-one million, ten thousand, three hundred thirteen".

Divisors: 1 7 17 29 119 203 493 3451 37963 265741 645371 1100927 4517597 7706489 18715759 131010313