Search a number
-
+
131320303332030 = 23258222991774433
BaseRepresentation
bin11101110110111101100100…
…000010000010101010111110
3122012222002122201122212120100
4131312331210002002222332
5114203022440123111110
61143143414200301530
736442402351645041
oct3566754402025276
9565862581585510
10131320303332030
113892a69a79926a
121288a907a718a6
1358375b3b50857
14245dd1802cc58
15102ae20ba5bc0
hex776f64082abe

131320303332030 has 48 divisors (see below), whose sum is σ = 341433396298800. Its totient is φ = 35018685233664.

The previous prime is 131320303332017. The next prime is 131320303332107. The reversal of 131320303332030 is 30233303023131.

131320303332030 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 2 + 0 + 303 + 3 + 320 + 30 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 131320303331985 and 131320303332003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73119694 + ... + 74894126.

It is an arithmetic number, because the mean of its divisors is an integer number (7113195756225).

Almost surely, 2131320303332030 is an apocalyptic number.

131320303332030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131320303332030 is an abundant number, since it is smaller than the sum of its proper divisors (210113092966770).

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

131320303332030 is a wasteful number, since it uses less digits than its factorization.

131320303332030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2596745 (or 2596742 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 27.

Adding to 131320303332030 its reverse (30233303023131), we get a palindrome (161553606355161).

The spelling of 131320303332030 in words is "one hundred thirty-one trillion, three hundred twenty billion, three hundred three million, three hundred thirty-two thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 822299 1644598 1774433 2466897 3548866 4111495 4933794 5323299 7400691 8222990 8872165 10646598 12334485 14801382 15969897 17744330 24668970 26616495 31939794 37003455 53232990 74006910 79849485 159698970 1459114481467 2918228962934 4377343444401 7295572407335 8754686888802 13132030333203 14591144814670 21886717222005 26264060666406 43773434444010 65660151666015 131320303332030