| Base | Representation |
|---|---|
| bin | 10100111101110101… |
| … | …00111010100100000 |
| 3 | 1002001110100010120100 |
| 4 | 22132322213110200 |
| 5 | 141023030201003 |
| 6 | 5100533142400 |
| 7 | 545636162310 |
| oct | 123672472440 |
| 9 | 32043303510 |
| 10 | 11256100128 |
| 11 | 4856858699 |
| 12 | 222178aa00 |
| 13 | 10a4cc47a0 |
| 14 | 78acd7440 |
| 15 | 45d2caba3 |
| hex | 29eea7520 |
11256100128 has 288 divisors, whose sum is σ = 39551645952. Its totient is φ = 2956953600.
The previous prime is 11256100123. The next prime is 11256100133. The reversal of 11256100128 is 82100165211.
11256100128 is a `hidden beast` number, since 1 + 1 + 25 + 610 + 0 + 1 + 28 = 666.
11256100128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (11256100123) and next prime (11256100133).
It is a tau number, because it is divible by the number of its divisors (288).
It is not an unprimeable number, because it can be changed into a prime (11256100123) by changing a digit.
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 47 ways as a sum of consecutive naturals, for example, 8149998 + ... + 8151378.
It is an arithmetic number, because the mean of its divisors is an integer number (137332104).
Almost surely, 211256100128 is an apocalyptic number.
11256100128 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 11256100128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19775822976).
11256100128 is an abundant number, since it is smaller than the sum of its proper divisors (28295545824).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
11256100128 is a wasteful number, since it uses less digits than its factorization.
11256100128 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1728 (or 1717 counting only the distinct ones).
The product of its (nonzero) digits is 960, while the sum is 27.
Adding to 11256100128 its reverse (82100165211), we get a palindrome (93356265339).
The spelling of 11256100128 in words is "eleven billion, two hundred fifty-six million, one hundred thousand, one hundred twenty-eight".
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