Base | Representation |
---|---|
bin | 100000000010000001110… |
… | …100010010000111010100 |
3 | 21210102200111102221101220 |
4 | 200002001310102013110 |
5 | 242031030003101400 |
6 | 4403115021250340 |
7 | 315013550450226 |
oct | 40020164220724 |
9 | 7712614387356 |
10 | 2201201222100 |
11 | 779584782a21 |
12 | 2b6735a039b0 |
13 | 12c7596b504a |
14 | 787782dc416 |
15 | 3c3d1b2e7a0 |
hex | 20081d121d4 |
2201201222100 has 144 divisors (see below), whose sum is σ = 6730099454400. Its totient is φ = 553928785920.
The previous prime is 2201201222083. The next prime is 2201201222113. The reversal of 2201201222100 is 12221021022.
It is a Harshad number since it is a multiple of its sum of digits (15).
It is a self number, because there is not a number n which added to its sum of digits gives 2201201222100.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 713586 + ... + 2216214.
Almost surely, 22201201222100 is an apocalyptic number.
2201201222100 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 2201201222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3365049727200).
2201201222100 is an abundant number, since it is smaller than the sum of its proper divisors (4528898232300).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2201201222100 is a wasteful number, since it uses less digits than its factorization.
2201201222100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1502922 (or 1502915 counting only the distinct ones).
The product of its (nonzero) digits is 64, while the sum is 15.
Adding to 2201201222100 its reverse (12221021022), we get a palindrome (2213422243122).
It can be divided in two parts, 2201201 and 222100, that added together give a triangular number (2423301 = T2201).
The spelling of 2201201222100 in words is "two trillion, two hundred one billion, two hundred one million, two hundred twenty-two thousand, one hundred".
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