Base | Representation |
---|---|
bin | 101111110011001000110001… |
… | …100101100110010110100100 |
3 | 1000120100001111121210211211200 |
4 | 233303020301211212112210 |
5 | 210023240233102210040 |
6 | 2023034443021002500 |
7 | 62165026412044131 |
oct | 5763106145462644 |
9 | 1016301447724750 |
10 | 210222301210020 |
11 | 60a8a860604750 |
12 | 1b6b25a73b3430 |
13 | 903bb54abb018 |
14 | 39cab569c1588 |
15 | 1948570232630 |
hex | bf32319665a4 |
210222301210020 has 288 divisors, whose sum is σ = 703497328934400. Its totient is φ = 50388716666880.
The previous prime is 210222301210013. The next prime is 210222301210021. The reversal of 210222301210020 is 20012103222012.
210222301210020 is a `hidden beast` number, since 21 + 0 + 222 + 301 + 2 + 100 + 20 = 666.
210222301210020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×2102223012100202 (a number of 29 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 210222301209975 and 210222301210002.
It is not an unprimeable number, because it can be changed into a prime (210222301210021) by changing a digit.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 197868181 + ... + 198927779.
It is an arithmetic number, because the mean of its divisors is an integer number (2442699058800).
Almost surely, 2210222301210020 is an apocalyptic number.
210222301210020 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 210222301210020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351748664467200).
210222301210020 is an abundant number, since it is smaller than the sum of its proper divisors (493275027724380).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
210222301210020 is a wasteful number, since it uses less digits than its factorization.
210222301210020 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1060755 (or 1060750 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 18.
Adding to 210222301210020 its reverse (20012103222012), we get a palindrome (230234404432032).
The spelling of 210222301210020 in words is "two hundred ten trillion, two hundred twenty-two billion, three hundred one million, two hundred ten thousand, twenty".
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