Base | Representation |
---|---|
bin | 110000000001101010000011… |
… | …001010011000110011000100 |
3 | 1000200212110000002110001110210 |
4 | 300001222003022120303010 |
5 | 210141112232132032441 |
6 | 2025121101515315420 |
7 | 62330102015514351 |
oct | 6001520312306304 |
9 | 1020773002401423 |
10 | 211220102220996 |
11 | 61334a40230640 |
12 | 1b833a54a4bb70 |
13 | 90b1c7c61a40b |
14 | 3a23170d71628 |
15 | 19644bd8cb616 |
hex | c01a83298cc4 |
211220102220996 has 96 divisors (see below), whose sum is σ = 556294051152000. Its totient is φ = 61787519825920.
The previous prime is 211220102220989. The next prime is 211220102220997. The reversal of 211220102220996 is 699022201022112.
It is a super-2 number, since 2×2112201022209962 (a number of 29 digits) contains 22 as substring.
It is not an unprimeable number, because it can be changed into a prime (211220102220997) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15528730 + ... + 25760078.
It is an arithmetic number, because the mean of its divisors is an integer number (5794729699500).
Almost surely, 2211220102220996 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 211220102220996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278147025576000).
211220102220996 is an abundant number, since it is smaller than the sum of its proper divisors (345073948931004).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
211220102220996 is a wasteful number, since it uses less digits than its factorization.
211220102220996 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 10236789 (or 10236787 counting only the distinct ones).
The product of its (nonzero) digits is 31104, while the sum is 39.
The spelling of 211220102220996 in words is "two hundred eleven trillion, two hundred twenty billion, one hundred two million, two hundred twenty thousand, nine hundred ninety-six".
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