Base | Representation |
---|---|
bin | 110000000000000000000000… |
… | …000000000000000000000001 |
3 | 1000200110120002022112120002211 |
4 | 300000000000000000000001 |
5 | 210132231031012023433 |
6 | 2024552510412542121 |
7 | 62315631145240600 |
oct | 6000000000000001 |
9 | 1020416068476084 |
10 | 211106232532993 |
11 | 612a0717811676 |
12 | 1b815976181941 |
13 | 90a43034c65c5 |
14 | 3a1b84bc79a37 |
15 | 1961556bee8cd |
hex | c00000000001 |
211106232532993 has 6 divisors (see below), whose sum is σ = 245572556211906. Its totient is φ = 180948199313952.
The previous prime is 211106232532969. The next prime is 211106232533047. The reversal of 211106232532993 is 399235232601112.
211106232532993 = 83886072 + 83886082 + 83886092.
It can be written as a sum of positive squares in only one way, i.e., 147045866305009 + 64060366227984 = 12126247^2 + 8003772^2 .
It is not a de Polignac number, because 211106232532993 - 25 = 211106232532961 is a prime.
It is a super-2 number, since 2×2111062325329932 (a number of 29 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (49), and also a Moran number because the ratio is a prime number: 4308290459857 = 211106232532993 / (2 + 1 + 1 + 1 + 0 + 6 + 2 + 3 + 2 + 5 + 3 + 2 + 9 + 9 + 3).
It is not an unprimeable number, because it can be changed into a prime (211106232533993) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (3) of ones.
It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2154145229880 + ... + 2154145229977.
It is an arithmetic number, because the mean of its divisors is an integer number (40928759368651).
It is a Proth number, since it is equal to 3 ⋅ 246 + 1 and 3 < 246.
Almost surely, 2211106232532993 is an apocalyptic number.
It is an amenable number.
211106232532993 is a deficient number, since it is larger than the sum of its proper divisors (34466323678913).
211106232532993 is an equidigital number, since it uses as much as digits as its factorization.
211106232532993 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4308290459871 (or 4308290459864 counting only the distinct ones).
The product of its (nonzero) digits is 1049760, while the sum is 49.
The spelling of 211106232532993 in words is "two hundred eleven trillion, one hundred six billion, two hundred thirty-two million, five hundred thirty-two thousand, nine hundred ninety-three".
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