Base | Representation |
---|---|
bin | 1110100011101… |
… | …00010000101110 |
3 | 22111202212211110 |
4 | 13101310100232 |
5 | 222230023042 |
6 | 20041132450 |
7 | 3011632545 |
oct | 721642056 |
9 | 274685743 |
10 | 122111022 |
11 | 62a23900 |
12 | 34a8a126 |
13 | 1c3b5a57 |
14 | 1230915c |
15 | aac109c |
hex | 747442e |
122111022 has 24 divisors (see below), whose sum is σ = 268444008. Its totient is φ = 37003120.
The previous prime is 122111021. The next prime is 122111023. The reversal of 122111022 is 220111221.
It is an interprime number because it is at equal distance from previous prime (122111021) and next prime (122111023).
It is a super-2 number, since 2×1221110222 = 29822203387768968, which contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 122110989 and 122111007.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (122111021) by changing a digit.
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 11 ways as a sum of consecutive naturals, for example, 83373 + ... + 84824.
It is an arithmetic number, because the mean of its divisors is an integer number (11185167).
Almost surely, 2122111022 is an apocalyptic number.
122111022 is an abundant number, since it is smaller than the sum of its proper divisors (146332986).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122111022 is a wasteful number, since it uses less digits than its factorization.
122111022 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 168224 (or 168213 counting only the distinct ones).
The product of its (nonzero) digits is 16, while the sum is 12.
The square root of 122111022 is about 11050.3856041316. The cubic root of 122111022 is about 496.1179669765.
Adding to 122111022 its reverse (220111221), we get a palindrome (342222243).
The spelling of 122111022 in words is "one hundred twenty-two million, one hundred eleven thousand, twenty-two".
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