Base | Representation |
---|---|
bin | 1110100011010… |
… | …01000111000110 |
3 | 22111200120011220 |
4 | 13101221013012 |
5 | 222222042400 |
6 | 20040141210 |
7 | 3011352441 |
oct | 721510706 |
9 | 274616156 |
10 | 122065350 |
11 | 629a2560 |
12 | 34a67806 |
13 | 1c39b024 |
14 | 122d6658 |
15 | aab27a0 |
hex | 74691c6 |
122065350 has 96 divisors (see below), whose sum is σ = 341763840. Its totient is φ = 28560000.
The previous prime is 122065343. The next prime is 122065351. The reversal of 122065350 is 53560221.
It is a self number, because there is not a number n which added to its sum of digits gives 122065350.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (122065351) 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 47 ways as a sum of consecutive naturals, for example, 46575 + ... + 49125.
It is an arithmetic number, because the mean of its divisors is an integer number (3560040).
Almost surely, 2122065350 is an apocalyptic number.
122065350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 122065350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170881920).
122065350 is an abundant number, since it is smaller than the sum of its proper divisors (219698490).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122065350 is a wasteful number, since it uses less digits than its factorization.
122065350 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2606 (or 2601 counting only the distinct ones).
The product of its (nonzero) digits is 1800, while the sum is 24.
The square root of 122065350 is about 11048.3188766436. The cubic root of 122065350 is about 496.0561065346.
It can be divided in two parts, 1220653 and 50, that added together give a triangular number (1220703 = T1562).
The spelling of 122065350 in words is "one hundred twenty-two million, sixty-five thousand, three hundred fifty".
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