Base | Representation |
---|---|
bin | 110000001110111011010110… |
… | …010011100110000000110100 |
3 | 1000211002121211220211202200100 |
4 | 300032323112103212000310 |
5 | 210301032344213210400 |
6 | 2031100035341114100 |
7 | 62453014314521340 |
oct | 6016732623460064 |
9 | 1024077756752610 |
10 | 212132030210100 |
11 | 61656763868170 |
12 | 1b960737858930 |
13 | 9149c70347130 |
14 | 3a5536058c620 |
15 | 197d0931a2100 |
hex | c0eed64e6034 |
212132030210100 has 864 divisors, whose sum is σ = 892916067214080. Its totient is φ = 40681294848000.
The previous prime is 212132030210099. The next prime is 212132030210101. The reversal of 212132030210100 is 1012030231212.
212132030210100 is a `hidden beast` number, since 2 + 1 + 2 + 1 + 320 + 30 + 210 + 100 = 666.
It is an interprime number because it is at equal distance from previous prime (212132030210099) and next prime (212132030210101).
It is a super-3 number, since 3×2121320302101003 (a number of 44 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (212132030210101) by changing a digit.
It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5874750846 + ... + 5874786954.
Almost surely, 2212132030210100 is an apocalyptic number.
212132030210100 is a gapful number since it is divisible by the number (20) 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 212132030210100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446458033607040).
212132030210100 is an abundant number, since it is smaller than the sum of its proper divisors (680784037003980).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
212132030210100 is a wasteful number, since it uses less digits than its factorization.
212132030210100 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 42681 (or 42671 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 18.
Adding to 212132030210100 its reverse (1012030231212), we get a palindrome (213144060441312).
The spelling of 212132030210100 in words is "two hundred twelve trillion, one hundred thirty-two billion, thirty million, two hundred ten thousand, one hundred".
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