Base | Representation |
---|---|
bin | 10011011000101110100… |
… | …101000100101101100000 |
3 | 11201100200210110201200200 |
4 | 103120232211010231200 |
5 | 133311342130113240 |
6 | 2500003010345200 |
7 | 165151454324634 |
oct | 23305645045540 |
9 | 4640623421620 |
10 | 1332221332320 |
11 | 473aa023605a |
12 | 19623a28b200 |
13 | 9882174c858 |
14 | 486a0a24dc4 |
15 | 249c2a81930 |
hex | 1362e944b60 |
1332221332320 has 288 divisors, whose sum is σ = 4567944326400. Its totient is φ = 353564390400.
The previous prime is 1332221332319. The next prime is 1332221332367. The reversal of 1332221332320 is 232331222331.
1332221332320 is a `hidden beast` number, since 1 + 3 + 3 + 2 + 2 + 2 + 1 + 332 + 320 = 666.
It is a tau number, because it is divible by the number of its divisors (288).
It is a super-3 number, since 3×13322213323203 (a number of 37 digits) contains 333 as substring.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 299306095 + ... + 299310545.
It is an arithmetic number, because the mean of its divisors is an integer number (15860917800).
Almost surely, 21332221332320 is an apocalyptic number.
1332221332320 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 1332221332320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2283972163200).
1332221332320 is an abundant number, since it is smaller than the sum of its proper divisors (3235722994080).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1332221332320 is a wasteful number, since it uses less digits than its factorization.
1332221332320 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 5418 (or 5407 counting only the distinct ones).
The product of its (nonzero) digits is 7776, while the sum is 27.
Adding to 1332221332320 its reverse (232331222331), we get a palindrome (1564552554651).
The spelling of 1332221332320 in words is "one trillion, three hundred thirty-two billion, two hundred twenty-one million, three hundred thirty-two thousand, three hundred twenty".
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