Base | Representation |
---|---|
bin | 110010010000010010111101… |
… | …101110000011110010011010 |
3 | 1001222120111221010202212012200 |
4 | 302100102331232003302122 |
5 | 212432211431201120442 |
6 | 2102024110313351030 |
7 | 64361220105214254 |
oct | 6220227556036232 |
9 | 1058514833685180 |
10 | 221022200020122 |
11 | 64473a96968a46 |
12 | 209576bb708476 |
13 | 96433c4c53917 |
14 | 3c81762854cd4 |
15 | 1a8446462a34c |
hex | c904bdb83c9a |
221022200020122 has 12 divisors (see below), whose sum is σ = 478881433376970. Its totient is φ = 73674066673368.
The previous prime is 221022200020117. The next prime is 221022200020133. The reversal of 221022200020122 is 221020002220122.
221022200020122 is a `hidden beast` number, since 221 + 0 + 2 + 220 + 0 + 0 + 201 + 22 = 666.
It can be written as a sum of positive squares in only one way, i.e., 126583628381721 + 94438571638401 = 11250939^2 + 9717951^2 .
It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 12279011112229 = 221022200020122 / (2 + 2 + 1 + 0 + 2 + 2 + 2 + 0 + 0 + 0 + 2 + 0 + 1 + 2 + 2).
It is a junction number, because it is equal to n+sod(n) for n = 221022200020095 and 221022200020104.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6139505556097 + ... + 6139505556132.
Almost surely, 2221022200020122 is an apocalyptic number.
221022200020122 is an abundant number, since it is smaller than the sum of its proper divisors (257859233356848).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
221022200020122 is a wasteful number, since it uses less digits than its factorization.
221022200020122 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 12279011112237 (or 12279011112234 counting only the distinct ones).
The product of its (nonzero) digits is 256, while the sum is 18.
Adding to 221022200020122 its reverse (221020002220122), we get a palindrome (442042202240244).
The spelling of 221022200020122 in words is "two hundred twenty-one trillion, twenty-two billion, two hundred million, twenty thousand, one hundred twenty-two".
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