Base | Representation |
---|---|
bin | 110000000000000000000000… |
… | …000000000000000000000000 |
3 | 1000200110120002022112120002210 |
4 | 300000000000000000000000 |
5 | 210132231031012023432 |
6 | 2024552510412542120 |
7 | 62315631145240566 |
oct | 6000000000000000 |
9 | 1020416068476083 |
10 | 211106232532992 |
11 | 612a0717811675 |
12 | 1b815976181940 |
13 | 90a43034c65c4 |
14 | 3a1b84bc79a36 |
15 | 1961556bee8cc |
hex | c00000000000 |
211106232532992 has 94 divisors (see below), whose sum is σ = 562949953421308. Its totient is φ = 70368744177664.
The previous prime is 211106232532969. The next prime is 211106232533047. The reversal of 211106232532992 is 299235232601112.
It is a Jordan-Polya number, since it can be written as 4! ⋅ (2!)43.
It is a Harshad number since it is a multiple of its sum of digits (48).
It is a nialpdrome in base 2, base 4, base 8 and base 16.
It is a zygodrome in base 2.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (2) of ones.
In principle, a polygon with 211106232532992 sides can be constructed with ruler and compass.
It is a polite number, since it can be written as a sum of consecutive naturals, namely, 70368744177663 + 70368744177664 + 70368744177665.
Almost surely, 2211106232532992 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 211106232532992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281474976710654).
211106232532992 is an abundant number, since it is smaller than the sum of its proper divisors (351843720888316).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
211106232532992 is an frugal number, since it uses more digits than its factorization.
211106232532992 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 95 (or 5 counting only the distinct ones).
The product of its (nonzero) digits is 699840, while the sum is 48.
211106232532992 divided by its sum of digits (48) gives a 42-nd power (4398046511104 = 242).
The spelling of 211106232532992 in words is "two hundred eleven trillion, one hundred six billion, two hundred thirty-two million, five hundred thirty-two thousand, nine hundred ninety-two".
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