Base | Representation |
---|---|
bin | 1110100011100… |
… | …10000100110000 |
3 | 22111202102112200 |
4 | 13101302010300 |
5 | 222224231224 |
6 | 20041023200 |
7 | 3011564460 |
oct | 721620460 |
9 | 274672480 |
10 | 122102064 |
11 | 62a180a7 |
12 | 34a84b00 |
13 | 1c3b1956 |
14 | 12305ba0 |
15 | aabd5c9 |
hex | 7472130 |
122102064 has 120 divisors (see below), whose sum is σ = 404096160. Its totient is φ = 33675264.
The previous prime is 122102023. The next prime is 122102107. The reversal of 122102064 is 460201221.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27144 + ... + 31320.
It is an arithmetic number, because the mean of its divisors is an integer number (3367468).
Almost surely, 2122102064 is an apocalyptic number.
122102064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 122102064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202048080).
122102064 is an abundant number, since it is smaller than the sum of its proper divisors (281994096).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122102064 is a wasteful number, since it uses less digits than its factorization.
122102064 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4227 (or 4218 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 18.
The square root of 122102064 is about 11049.9802714756. The cubic root of 122102064 is about 496.1058350292.
Adding to 122102064 its reverse (460201221), we get a palindrome (582303285).
The spelling of 122102064 in words is "one hundred twenty-two million, one hundred two thousand, sixty-four".
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