Search a number
-
+
130131311 = 1722933427
BaseRepresentation
bin1111100000110…
…10010101101111
3100001212100121012
413300122111233
5231303200221
620525055435
73140045402
oct760322557
9301770535
10130131311
1167501642
12376b757b
1320c6349b
14133d5d39
15b65765b
hex7c1a56f

130131311 has 8 divisors (see below), whose sum is σ = 138391920. Its totient is φ = 121938048.

The previous prime is 130131299. The next prime is 130131343. The reversal of 130131311 is 113131031.

It is a happy number.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-130131311 is a prime.

It is a super-3 number, since 3×1301313113 (a number of 25 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130131371) 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, 12821 + ... + 20606.

It is an arithmetic number, because the mean of its divisors is an integer number (17298990).

Almost surely, 2130131311 is an apocalyptic number.

130131311 is a deficient number, since it is larger than the sum of its proper divisors (8260609).

130131311 is a wasteful number, since it uses less digits than its factorization.

130131311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33673.

The product of its (nonzero) digits is 27, while the sum is 14.

The square root of 130131311 is about 11407.5111658942. The cubic root of 130131311 is about 506.7502073025.

Adding to 130131311 its reverse (113131031), we get a palindrome (243262342).

The spelling of 130131311 in words is "one hundred thirty million, one hundred thirty-one thousand, three hundred eleven".

Divisors: 1 17 229 3893 33427 568259 7654783 130131311