Search a number
-
+
131020201033 = 172453357097
BaseRepresentation
bin111101000000101101…
…0011001110001001001
3110112012000121211100021
41322001122121301021
54121312132413113
6140105001340441
712315542222251
oct1720132316111
9415160554307
10131020201033
1150624540287
1221486497721
13c480365797
1464acb94961
15361c6d548d
hex1e81699c49

131020201033 has 6 divisors (see below), whose sum is σ = 139180629086. Its totient is φ = 123313130112.

The previous prime is 131020201027. The next prime is 131020201057. The reversal of 131020201033 is 330102020131.

It can be written as a sum of positive squares in 3 ways, for example, as 34294224969 + 96725976064 = 185187^2 + 311008^2 .

It is not a de Polignac number, because 131020201033 - 25 = 131020201001 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131020200998 and 131020201016.

It is not an unprimeable number, because it can be changed into a prime (131020201133) 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, 226678260 + ... + 226678837.

Almost surely, 2131020201033 is an apocalyptic number.

It is an amenable number.

131020201033 is a deficient number, since it is larger than the sum of its proper divisors (8160428053).

131020201033 is an equidigital number, since it uses as much as digits as its factorization.

131020201033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453357131 (or 453357114 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 131020201033 its reverse (330102020131), we get a palindrome (461122221164).

The spelling of 131020201033 in words is "one hundred thirty-one billion, twenty million, two hundred one thousand, thirty-three".

Divisors: 1 17 289 453357097 7707070649 131020201033