Search a number
-
+
131036516 = 22132193841
BaseRepresentation
bin1111100111101…
…11010101100100
3100010120100022022
413303313111210
5232021132031
621000322312
73150535442
oct763672544
9303510268
10131036516
1167a6a746
1237a73398
13211bc500
141358db92
15b78597b
hex7cf7564

131036516 has 18 divisors (see below), whose sum is σ = 248311602. Its totient is φ = 60478080.

The previous prime is 131036513. The next prime is 131036537. The reversal of 131036516 is 615630131.

It can be written as a sum of positive squares in 3 ways, for example, as 25600 + 131010916 = 160^2 + 11446^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (131036513) 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 5 ways as a sum of consecutive naturals, for example, 96245 + ... + 97596.

It is an arithmetic number, because the mean of its divisors is an integer number (13795089).

Almost surely, 2131036516 is an apocalyptic number.

It is an amenable number.

131036516 is a deficient number, since it is larger than the sum of its proper divisors (117275086).

131036516 is a wasteful number, since it uses less digits than its factorization.

131036516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193871 (or 193856 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 26.

The square root of 131036516 is about 11447.1182399764. The cubic root of 131036516 is about 507.9224931869.

Adding to 131036516 its reverse (615630131), we get a palindrome (746666647).

The spelling of 131036516 in words is "one hundred thirty-one million, thirty-six thousand, five hundred sixteen".

Divisors: 1 2 4 13 26 52 169 338 676 193841 387682 775364 2519933 5039866 10079732 32759129 65518258 131036516