Search a number
-
+
131031310031 = 224335841007
BaseRepresentation
bin111101000001000010…
…0110001111011001111
3110112012210112020000122
41322002010301323033
54121323003410111
6140110035415155
712316035521066
oct1720204617317
9415183466018
10131031310031
115062a838676
122148a1544bb
13c48275505b
1464b04471dd
15361d67bcdb
hex1e82131ecf

131031310031 has 4 divisors (see below), whose sum is σ = 131037173472. Its totient is φ = 131025446592.

The previous prime is 131031310027. The next prime is 131031310093. The reversal of 131031310031 is 130013130131.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 131031310031 - 22 = 131031310027 is a prime.

It is a super-2 number, since 2×1310313100312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131031309991 and 131031310009.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131031310021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2898071 + ... + 2942936.

It is an arithmetic number, because the mean of its divisors is an integer number (32759293368).

Almost surely, 2131031310031 is an apocalyptic number.

131031310031 is a deficient number, since it is larger than the sum of its proper divisors (5863441).

131031310031 is an equidigital number, since it uses as much as digits as its factorization.

131031310031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5863440.

The product of its (nonzero) digits is 81, while the sum is 17.

Adding to 131031310031 its reverse (130013130131), we get a palindrome (261044440162).

The spelling of 131031310031 in words is "one hundred thirty-one billion, thirty-one million, three hundred ten thousand, thirty-one".

Divisors: 1 22433 5841007 131031310031