Base | Representation |
---|---|
bin | 100000001010011010110… |
… | …101110110111100100110 |
3 | 21211021221101221002022110 |
4 | 200022122311312330212 |
5 | 242203003004000402 |
6 | 4411205032141450 |
7 | 315453042344460 |
oct | 40123265667446 |
9 | 7737841832273 |
10 | 2210211000102 |
11 | 782388542546 |
12 | 2b842b237886 |
13 | 1305641a9b31 |
14 | 78d90b3b130 |
15 | 3c75cadd56c |
hex | 2029ad76f26 |
2210211000102 has 64 divisors (see below), whose sum is σ = 5113821081600. Its totient is φ = 623753187744.
The previous prime is 2210211000089. The next prime is 2210211000119. The reversal of 2210211000102 is 2010001120122.
2210211000102 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-3 number, since 3×22102110001023 (a number of 38 digits) contains 333 as substring.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17712943 + ... + 17837285.
It is an arithmetic number, because the mean of its divisors is an integer number (79903454400).
Almost surely, 22210211000102 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2210211000102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2556910540800).
2210211000102 is an abundant number, since it is smaller than the sum of its proper divisors (2903610081498).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2210211000102 is a wasteful number, since it uses less digits than its factorization.
2210211000102 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 129537.
The product of its (nonzero) digits is 16, while the sum is 12.
Adding to 2210211000102 its reverse (2010001120122), we get a palindrome (4220212120224).
The spelling of 2210211000102 in words is "two trillion, two hundred ten billion, two hundred eleven million, one hundred two", and thus it is an aban number.
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