Base | Representation |
---|---|
bin | 1100010010110110110… |
… | …1001010100110011010 |
3 | 202012012022002111222100 |
4 | 3010231231022212122 |
5 | 11430034333241442 |
6 | 241011102104230 |
7 | 21155143115463 |
oct | 3045555124632 |
9 | 665168074870 |
10 | 211220212122 |
11 | 8163a337687 |
12 | 34b2927b076 |
13 | 16bc1a5994a |
14 | a31a315d6a |
15 | 576351184c |
hex | 312db4a99a |
211220212122 has 12 divisors (see below), whose sum is σ = 457643792970. Its totient is φ = 70406737368.
The previous prime is 211220212117. The next prime is 211220212127. The reversal of 211220212122 is 221212022112.
It is a happy number.
211220212122 is a `hidden beast` number, since 211 + 220 + 21 + 212 + 2 = 666.
211220212122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (211220212117) and next prime (211220212127).
It can be written as a sum of positive squares in only one way, i.e., 144263992041 + 66956220081 = 379821^2 + 258759^2 .
It is a super-2 number, since 2×2112202121222 (a number of 23 digits) contains 22 as substring.
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: 11734456229 = 211220212122 / (2 + 1 + 1 + 2 + 2 + 0 + 2 + 1 + 2 + 1 + 2 + 2).
It is a junction number, because it is equal to n+sod(n) for n = 211220212095 and 211220212104.
It is not an unprimeable number, because it can be changed into a prime (211220212127) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5867228097 + ... + 5867228132.
Almost surely, 2211220212122 is an apocalyptic number.
211220212122 is an abundant number, since it is smaller than the sum of its proper divisors (246423580848).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
211220212122 is a wasteful number, since it uses less digits than its factorization.
211220212122 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 11734456237 (or 11734456234 counting only the distinct ones).
The product of its (nonzero) digits is 128, while the sum is 18.
Adding to 211220212122 its reverse (221212022112), we get a palindrome (432432234234).
The spelling of 211220212122 in words is "two hundred eleven billion, two hundred twenty million, two hundred twelve thousand, one hundred twenty-two".
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