Search a number
-
+
131040113 = 972774877
BaseRepresentation
bin1111100111110…
…00001101110001
3100010120112020112
413303320031301
5232021240423
621000351105
73150552101
oct763701561
9303515215
10131040113
1167a72416
1237a75495
13211c1039
1413591201
15b786a78
hex7cf8371

131040113 has 8 divisors (see below), whose sum is σ = 132896232. Its totient is φ = 129194496.

The previous prime is 131040109. The next prime is 131040149. The reversal of 131040113 is 311040131.

It can be written as a sum of positive squares in 4 ways, for example, as 692224 + 130347889 = 832^2 + 11417^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 131040113 - 22 = 131040109 is a prime.

It is a super-2 number, since 2×1310401132 = 34343022430105538, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131040163) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24431 + ... + 29307.

It is an arithmetic number, because the mean of its divisors is an integer number (16612029).

Almost surely, 2131040113 is an apocalyptic number.

It is an amenable number.

131040113 is a deficient number, since it is larger than the sum of its proper divisors (1856119).

131040113 is an equidigital number, since it uses as much as digits as its factorization.

131040113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5251.

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 131040113 is about 11447.2753526767. The cubic root of 131040113 is about 507.9271406967.

Adding to 131040113 its reverse (311040131), we get a palindrome (442080244).

The spelling of 131040113 in words is "one hundred thirty-one million, forty thousand, one hundred thirteen".

Divisors: 1 97 277 4877 26869 473069 1350929 131040113