Search a number
-
+
130233010143600 = 2432527136713145293
BaseRepresentation
bin11101100111001000111100…
…010011101100000101110000
3122002010011011101201000101100
4131213020330103230011300
5114032214201044043400
61140552115142004400
736301011253225260
oct3547107423540560
9562104141630340
10130233010143600
1138550567070941
1212734043716700
135788bc67929c0
1424234503b17a0
15100c9d5a41100
hex76723c4ec170

130233010143600 has 1440 divisors, whose sum is σ = 568863779387904. Its totient is φ = 26860402483200.

The previous prime is 130233010143569. The next prime is 130233010143671. The reversal of 130233010143600 is 6341010332031.

130233010143600 is a `hidden beast` number, since 1 + 3 + 0 + 2 + 3 + 3 + 0 + 10 + 1 + 43 + 600 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2875322554 + ... + 2875367846.

Almost surely, 2130233010143600 is an apocalyptic number.

130233010143600 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 130233010143600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284431889693952).

130233010143600 is an abundant number, since it is smaller than the sum of its proper divisors (438630769244304).

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

130233010143600 is a wasteful number, since it uses less digits than its factorization.

130233010143600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45535 (or 45521 counting only the distinct ones).

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

Adding to 130233010143600 its reverse (6341010332031), we get a palindrome (136574020475631).

The spelling of 130233010143600 in words is "one hundred thirty trillion, two hundred thirty-three billion, ten million, one hundred forty-three thousand, six hundred".