Search a number
-
+
2132202330000 = 243254372512551
BaseRepresentation
bin11111000001110001001…
…010011001011110010000
321112211120211212001101200
4133001301022121132100
5234413222244030000
64311304211431200
7310021650524421
oct37016112313620
97484524761350
102132202330000
117522976a1056
122a529a2b5500
131260b17a4c42
14752b0641648
153a6e436d500
hex1f071299790

2132202330000 has 600 divisors, whose sum is σ = 7691674326336. Its totient is φ = 550800000000.

The previous prime is 2132202329989. The next prime is 2132202330023. The reversal of 2132202330000 is 332022312.

It is a happy number.

2132202330000 is a `hidden beast` number, since 2 + 132 + 202 + 330 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 835828725 + ... + 835831275.

Almost surely, 22132202330000 is an apocalyptic number.

2132202330000 is a gapful number since it is divisible by the number (20) 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 2132202330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3845837163168).

2132202330000 is an abundant number, since it is smaller than the sum of its proper divisors (5559471996336).

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

2132202330000 is a wasteful number, since it uses less digits than its factorization.

2132202330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2873 (or 2849 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 2132202330000 its reverse (332022312), we get a palindrome (2132534352312).

The spelling of 2132202330000 in words is "two trillion, one hundred thirty-two billion, two hundred two million, three hundred thirty thousand".