Search a number
-
+
131000333103 = 35737384877
BaseRepresentation
bin111101000000000111…
…0100111001100101111
3110112010122020102200000
41322000032213030233
54121242041124403
6140103011435343
712315211313253
oct1720016471457
9415118212600
10131000333103
1150614300202
122147b8b5b53
13c4791ca503
1464aa2a2263
15361aaad7a3
hex1e803a732f

131000333103 has 24 divisors (see below), whose sum is σ = 198919073808. Its totient is φ = 86137193664.

The previous prime is 131000333081. The next prime is 131000333119. The reversal of 131000333103 is 301333000131.

It is not a de Polignac number, because 131000333103 - 224 = 130983555887 is a prime.

It is a super-2 number, since 2×1310003331032 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131000333173) 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 23 ways as a sum of consecutive naturals, for example, 3674700 + ... + 3710177.

It is an arithmetic number, because the mean of its divisors is an integer number (8288294742).

Almost surely, 2131000333103 is an apocalyptic number.

131000333103 is a deficient number, since it is larger than the sum of its proper divisors (67918740705).

131000333103 is an frugal number, since it uses more digits than its factorization.

131000333103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7384965 (or 7384953 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

Adding to 131000333103 its reverse (301333000131), we get a palindrome (432333333234).

The spelling of 131000333103 in words is "one hundred thirty-one billion, three hundred thirty-three thousand, one hundred three".

Divisors: 1 3 9 27 73 81 219 243 657 1971 5913 17739 7384877 22154631 66463893 199391679 539096021 598175037 1617288063 1794525111 4851864189 14555592567 43666777701 131000333103