| Base | Representation |
|---|---|
| bin | 10100111000110110… |
| … | …01100111110100000 |
| 3 | 1001221112201001010000 |
| 4 | 22130123030332200 |
| 5 | 140431330430303 |
| 6 | 5052441340000 |
| 7 | 544621034133 |
| oct | 123433147640 |
| 9 | 31845631100 |
| 10 | 11214311328 |
| 11 | 48352060a0 |
| 12 | 220b797600 |
| 13 | 109945299c |
| 14 | 78553a21a |
| 15 | 4597c3da3 |
| hex | 29c6ccfa0 |
11214311328 has 480 divisors, whose sum is σ = 38405283840. Its totient is φ = 3174474240.
The previous prime is 11214311243. The next prime is 11214311333. The reversal of 11214311328 is 82311341211.
11214311328 is a `hidden beast` number, since 1 + 1 + 21 + 4 + 311 + 328 = 666.
11214311328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×112143113282 (a number of 21 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 68799375 + ... + 68799537.
It is an arithmetic number, because the mean of its divisors is an integer number (80011008).
Almost surely, 211214311328 is an apocalyptic number.
11214311328 is a gapful number since it is divisible by the number (18) 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 11214311328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19202641920).
11214311328 is an abundant number, since it is smaller than the sum of its proper divisors (27190972512).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
11214311328 is a wasteful number, since it uses less digits than its factorization.
11214311328 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 342 (or 325 counting only the distinct ones).
The product of its digits is 1152, while the sum is 27.
Adding to 11214311328 its reverse (82311341211), we get a palindrome (93525652539).
The spelling of 11214311328 in words is "eleven billion, two hundred fourteen million, three hundred eleven thousand, three hundred twenty-eight".
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