Base | Representation |
---|---|
bin | 1110101000110… |
… | …00011000100001 |
3 | 22120001000222100 |
4 | 13110120120201 |
5 | 222413031030 |
6 | 20103401013 |
7 | 3020432463 |
oct | 724303041 |
9 | 276030870 |
10 | 122783265 |
11 | 63342980 |
12 | 35153169 |
13 | 1c58ca27 |
14 | 12442133 |
15 | aba5360 |
hex | 7518621 |
122783265 has 48 divisors (see below), whose sum is σ = 245846016. Its totient is φ = 56025600.
The previous prime is 122783257. The next prime is 122783267. The reversal of 122783265 is 562387221.
It is not a de Polignac number, because 122783265 - 23 = 122783257 is a prime.
It is not an unprimeable number, because it can be changed into a prime (122783267) by changing a digit.
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 47 ways as a sum of consecutive naturals, for example, 1120 + ... + 15710.
It is an arithmetic number, because the mean of its divisors is an integer number (5121792).
Almost surely, 2122783265 is an apocalyptic number.
122783265 is a gapful number since it is divisible by the number (15) formed by its first and last digit.
It is an amenable number.
122783265 is an abundant number, since it is smaller than the sum of its proper divisors (123062751).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122783265 is a wasteful number, since it uses less digits than its factorization.
122783265 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 14630 (or 14627 counting only the distinct ones).
The product of its digits is 40320, while the sum is 36.
The square root of 122783265 is about 11080.7610298210. The cubic root of 122783265 is about 497.0267074431.
It can be divided in two parts, 122 and 783265, that added together give a palindrome (783387).
The spelling of 122783265 in words is "one hundred twenty-two million, seven hundred eighty-three thousand, two hundred sixty-five".
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