Base | Representation |
---|---|
bin | 1110100010111… |
… | …00100110100100 |
3 | 22111120221220100 |
4 | 13101130212210 |
5 | 222213422431 |
6 | 20035104100 |
7 | 3011050200 |
oct | 721344644 |
9 | 274527810 |
10 | 122014116 |
11 | 62968014 |
12 | 34a42030 |
13 | 1c380903 |
14 | 122c1b00 |
15 | aaa24e6 |
hex | 745c9a4 |
122014116 has 81 divisors (see below), whose sum is σ = 360148971. Its totient is φ = 34728624.
The previous prime is 122014111. The next prime is 122014121. The reversal of 122014116 is 611410221.
The square root of 122014116 is 11046.
It is a perfect power (a square), and thus also a powerful number.
It is an interprime number because it is at equal distance from previous prime (122014111) and next prime (122014121).
It is a super-2 number, since 2×1220141162 = 29774889006522912, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is not an unprimeable number, because it can be changed into a prime (122014111) 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 26 ways as a sum of consecutive naturals, for example, 463801 + ... + 464063.
Almost surely, 2122014116 is an apocalyptic number.
122014116 is the 11046-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 122014116
122014116 is an abundant number, since it is smaller than the sum of its proper divisors (238134855).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122014116 is a wasteful number, since it uses less digits than its factorization.
122014116 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 550 (or 275 counting only the distinct ones).
The product of its (nonzero) digits is 96, while the sum is 18.
The cubic root of 122014116 is about 495.9866942754.
Adding to 122014116 its reverse (611410221), we get a palindrome (733424337).
The spelling of 122014116 in words is "one hundred twenty-two million, fourteen thousand, one hundred sixteen".
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