Base | Representation |
---|---|
bin | 110010000001011100001101… |
… | …010011110100011000010100 |
3 | 1001211221220220011120011112000 |
4 | 302001130031103310120110 |
5 | 212314000212233231400 |
6 | 2055523114524355300 |
7 | 64224400060455444 |
oct | 6201341523643024 |
9 | 1054856804504460 |
10 | 220001333102100 |
11 | 64110050127760 |
12 | 208118953a5b30 |
13 | 959b0627ca814 |
14 | 3c4819ad3c124 |
15 | 1a67b15ea3600 |
hex | c8170d4f4614 |
220001333102100 has 288 divisors, whose sum is σ = 771830210954880. Its totient is φ = 53314994304000.
The previous prime is 220001333102029. The next prime is 220001333102101. The reversal of 220001333102100 is 1201333100022.
220001333102100 is a `hidden beast` number, since 2 + 200 + 0 + 133 + 310 + 21 + 0 + 0 = 666.
It is a super-2 number, since 2×2200013331021002 (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 congruent number.
It is not an unprimeable number, because it can be changed into a prime (220001333102101) 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, 83677144 + ... + 86266256.
It is an arithmetic number, because the mean of its divisors is an integer number (2679966010260).
Almost surely, 2220001333102100 is an apocalyptic number.
220001333102100 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 220001333102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385915105477440).
220001333102100 is an abundant number, since it is smaller than the sum of its proper divisors (551828877852780).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
220001333102100 is a wasteful number, since it uses less digits than its factorization.
220001333102100 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2592008 (or 2591995 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 18.
Adding to 220001333102100 its reverse (1201333100022), we get a palindrome (221202666202122).
The spelling of 220001333102100 in words is "two hundred twenty trillion, one billion, three hundred thirty-three million, one hundred two thousand, one hundred".
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