Base | Representation |
---|---|
bin | 100001110001111010001… |
… | …011010101110111001000 |
3 | 22012220202121221112100001 |
4 | 201301322023111313020 |
5 | 301013042011231240 |
6 | 4534223311452344 |
7 | 326465526400054 |
oct | 41617213256710 |
9 | 8186677845301 |
10 | 2321332133320 |
11 | 815520521632 |
12 | 315a815270b4 |
13 | 13ab92a46875 |
14 | 804d2ba0c64 |
15 | 405b334389a |
hex | 21c7a2d5dc8 |
2321332133320 has 96 divisors (see below), whose sum is σ = 5398515320760. Its totient is φ = 898313932800.
The previous prime is 2321332133279. The next prime is 2321332133399. The reversal of 2321332133320 is 233312331232.
2321332133320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 4 ways, for example, as 554181980356 + 1767150152964 = 744434^2 + 1329342^2 .
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 173473030 + ... + 173486410.
Almost surely, 22321332133320 is an apocalyptic number.
2321332133320 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 2321332133320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2699257660380).
2321332133320 is an abundant number, since it is smaller than the sum of its proper divisors (3077183187440).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2321332133320 is a wasteful number, since it uses less digits than its factorization.
2321332133320 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 17967 (or 17932 counting only the distinct ones).
The product of its (nonzero) digits is 11664, while the sum is 28.
Adding to 2321332133320 its reverse (233312331232), we get a palindrome (2554644464552).
The spelling of 2321332133320 in words is "two trillion, three hundred twenty-one billion, three hundred thirty-two million, one hundred thirty-three thousand, three hundred twenty".
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