Search a number
-
+
133132123323320 = 2351117431392977817
BaseRepresentation
bin11110010001010100111100…
…111010110011101110111000
3122110101022021120121210212012
4132101110330322303232320
5114422214042032321240
61151052015250505052
740020323060530112
oct3621247472635670
9573338246553765
10133132123323320
113946901a9612a0
1212b21a92895188
1359393c7b52734
1424c38b455c3b2
15105d113273b65
hex79153ceb3bb8

133132123323320 has 256 divisors, whose sum is σ = 356594896627200. Its totient is φ = 44184119132160.

The previous prime is 133132123323247. The next prime is 133132123323347. The reversal of 133132123323320 is 23323321231331.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43219052 + ... + 46196868.

It is an arithmetic number, because the mean of its divisors is an integer number (1392948814950).

Almost surely, 2133132123323320 is an apocalyptic number.

133132123323320 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 133132123323320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178297448313600).

133132123323320 is an abundant number, since it is smaller than the sum of its proper divisors (223462773303880).

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

133132123323320 is a wasteful number, since it uses less digits than its factorization.

133132123323320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2978038 (or 2978034 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 32.

Adding to 133132123323320 its reverse (23323321231331), we get a palindrome (156455444554651).

The spelling of 133132123323320 in words is "one hundred thirty-three trillion, one hundred thirty-two billion, one hundred twenty-three million, three hundred twenty-three thousand, three hundred twenty".