Search a number
-
+
131023113 = 3133359567
BaseRepresentation
bin1111100111101…
…00000100001001
3100010112122220220
413303310010021
5232020214423
621000140253
73150451404
oct763640411
9303478826
10131023113
1167a60671
1237a67689
13211b6390
1413588d3b
15b7819e3
hex7cf4109

131023113 has 8 divisors (see below), whose sum is σ = 188135808. Its totient is φ = 80629584.

The previous prime is 131023103. The next prime is 131023117. The reversal of 131023113 is 311320131.

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

It is not a de Polignac number, because 131023113 - 29 = 131022601 is a prime.

It is a super-4 number, since 4×1310231134 (a number of 34 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 131023092 and 131023101.

It is not an unprimeable number, because it can be changed into a prime (131023117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1679745 + ... + 1679822.

It is an arithmetic number, because the mean of its divisors is an integer number (23516976).

Almost surely, 2131023113 is an apocalyptic number.

131023113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

131023113 is a deficient number, since it is larger than the sum of its proper divisors (57112695).

131023113 is a wasteful number, since it uses less digits than its factorization.

131023113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3359583.

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 131023113 is about 11446.5327938201. The cubic root of 131023113 is about 507.9051750695.

Adding to 131023113 its reverse (311320131), we get a palindrome (442343244).

The spelling of 131023113 in words is "one hundred thirty-one million, twenty-three thousand, one hundred thirteen".

Divisors: 1 3 13 39 3359567 10078701 43674371 131023113