Search a number
-
+
131303101222332 = 223213733843317563
BaseRepresentation
bin11101110110101101100010…
…101101001100110110111100
3122012220110020212212011021100
4131312231202231030312330
5114202232222403103312
61143131451215333100
736441223152301524
oct3566554255146674
9565813225764240
10131303101222332
1138923372636686
1212887506b21190
135835aa2014b10
14245d16557c684
15102a7658a95dc
hex776b62b4cdbc

131303101222332 has 72 divisors (see below), whose sum is σ = 362332606663664. Its totient is φ = 39847516482816.

The previous prime is 131303101222331. The next prime is 131303101222333. The reversal of 131303101222332 is 233222101303131.

131303101222332 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 0 + 3 + 101 + 222 + 332 = 666.

It is an interprime number because it is at equal distance from previous prime (131303101222331) and next prime (131303101222333).

It is a junction number, because it is equal to n+sod(n) for n = 131303101222296 and 131303101222305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131303101222331) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1921624618 + ... + 1921692945.

Almost surely, 2131303101222332 is an apocalyptic number.

131303101222332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131303101222332 is an abundant number, since it is smaller than the sum of its proper divisors (231029505441332).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131303101222332 is a wasteful number, since it uses less digits than its factorization.

131303101222332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3843317659 (or 3843317654 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 131303101222332 its reverse (233222101303131), we get a palindrome (364525202525463).

The spelling of 131303101222332 in words is "one hundred thirty-one trillion, three hundred three billion, one hundred one million, two hundred twenty-two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 73 78 117 146 156 219 234 292 438 468 657 876 949 1314 1898 2628 2847 3796 5694 8541 11388 17082 34164 3843317563 7686635126 11529952689 15373270252 23059905378 34589858067 46119810756 49963128319 69179716134 99926256638 138359432268 149889384957 199852513276 280562182099 299778769914 449668154871 561124364198 599557539828 841686546297 899336309742 1122248728396 1683373092594 1798672619484 2525059638891 3366746185188 3647308367287 5050119277782 7294616734574 10100238555564 10941925101861 14589233469148 21883850203722 32825775305583 43767700407444 65651550611166 131303101222332