Search a number
-
+
131133030000 = 243547624443
BaseRepresentation
bin111101000100000100…
…0110011111001110000
3110112110212221010120220
41322020020303321300
54122030023430000
6140124111533040
712321412235550
oct1721010637160
9415425833526
10131133030000
11506821a4365
12214b822a180
13c49a84b69b
1464bdb65160
1536275711a0
hex1e88233e70

131133030000 has 200 divisors, whose sum is σ = 483789237888. Its totient is φ = 29973216000.

The previous prime is 131133029981. The next prime is 131133030073. The reversal of 131133030000 is 30331131.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 102222 + ... + 522221.

Almost surely, 2131133030000 is an apocalyptic number.

131133030000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131133030000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241894618944).

131133030000 is an abundant number, since it is smaller than the sum of its proper divisors (352656207888).

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

131133030000 is an equidigital number, since it uses as much as digits as its factorization.

131133030000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624481 (or 624460 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 15.

Adding to 131133030000 its reverse (30331131), we get a palindrome (131163361131).

The spelling of 131133030000 in words is "one hundred thirty-one billion, one hundred thirty-three million, thirty thousand".