Search a number
-
+
133113321210000 = 2435437713115431
BaseRepresentation
bin11110010001000011011100…
…001110011100000010010000
3122110022111202020010111012210
4132101003130032130002100
5114421412040212210000
61151035225432152120
740016056122310155
oct3621033416340220
9573274666114183
10133113321210000
113946105162526a
1212b1a305b38640
1359376bc6ac3b1
1424c2a0d3b622c
15105c8b2777350
hex7910dc39c090

133113321210000 has 800 divisors, whose sum is σ = 449058754400256. Its totient is φ = 33935328000000.

The previous prime is 133113321209993. The next prime is 133113321210029. The reversal of 133113321210000 is 12123311331.

It is a happy number.

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 159 ways as a sum of consecutive naturals, for example, 24509907285 + ... + 24509912715.

Almost surely, 2133113321210000 is an apocalyptic number.

133113321210000 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 133113321210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224529377200128).

133113321210000 is an abundant number, since it is smaller than the sum of its proper divisors (315945433190256).

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

133113321210000 is a wasteful number, since it uses less digits than its factorization.

133113321210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5881 (or 5860 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 133113321210000 its reverse (12123311331), we get a palindrome (133125444521331).

The spelling of 133113321210000 in words is "one hundred thirty-three trillion, one hundred thirteen billion, three hundred twenty-one million, two hundred ten thousand".