Search a number
-
+
131300012133 = 3214588890237
BaseRepresentation
bin111101001001000010…
…1110011000001100101
3110112220112010201000100
41322102011303001211
54122400300342013
6140152434534313
712325510455123
oct1722205630145
9415815121010
10131300012133
1150758485524
1221544137399
13c4c6315194
1464d7dd0913
153637057473
hex1e92173065

131300012133 has 6 divisors (see below), whose sum is σ = 189655573094. Its totient is φ = 87533341416.

The previous prime is 131300012111. The next prime is 131300012143. The reversal of 131300012133 is 331210003131.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 130073471649 + 1226540484 = 360657^2 + 35022^2 .

It is not a de Polignac number, because 131300012133 - 29 = 131300011621 is a prime.

It is a super-2 number, since 2×1313000121332 (a number of 23 digits) contains 22 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 (131300012143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7294445110 + ... + 7294445127.

Almost surely, 2131300012133 is an apocalyptic number.

It is an amenable number.

131300012133 is a deficient number, since it is larger than the sum of its proper divisors (58355560961).

131300012133 is a wasteful number, since it uses less digits than its factorization.

131300012133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14588890243 (or 14588890240 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 131300012133 its reverse (331210003131), we get a palindrome (462510015264).

The spelling of 131300012133 in words is "one hundred thirty-one billion, three hundred million, twelve thousand, one hundred thirty-three".

Divisors: 1 3 9 14588890237 43766670711 131300012133