Base | Representation |
---|---|
bin | 10100111000100101… |
… | …10011100010110000 |
3 | 1001221101120012110100 |
4 | 22130102303202300 |
5 | 140430300010000 |
6 | 5052322232400 |
7 | 544563235230 |
oct | 123422634260 |
9 | 31841505410 |
10 | 11212110000 |
11 | 4833a42213 |
12 | 220aab5700 |
13 | 1098b61a20 |
14 | 785125cc0 |
15 | 4594dba00 |
hex | 29c4b38b0 |
11212110000 has 900 divisors, whose sum is σ = 49598460912. Its totient is φ = 2301696000.
The previous prime is 11212109999. The next prime is 11212110001. The reversal of 11212110000 is 1121211.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (11212109999) and next prime (11212110001).
It is a tau number, because it is divible by the number of its divisors (900).
It is a super-2 number, since 2×112121100002 (a number of 21 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.
It is not an unprimeable number, because it can be changed into a prime (11212110001) by changing a digit.
It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 303029982 + ... + 303030018.
Almost surely, 211212110000 is an apocalyptic number.
11212110000 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 11212110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24799230456).
11212110000 is an abundant number, since it is smaller than the sum of its proper divisors (38386350912).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
11212110000 is a wasteful number, since it uses less digits than its factorization.
11212110000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 128 (or 67 counting only the distinct ones).
The product of its (nonzero) digits is 4, while the sum is 9.
Adding to 11212110000 its reverse (1121211), we get a palindrome (11213231211).
11212110000 divided by its reverse (1121211) gives a 4-th power (10000 = 104).
The spelling of 11212110000 in words is "eleven billion, two hundred twelve million, one hundred ten thousand".
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