Base | Representation |
---|---|
bin | 1110100011101… |
… | …11001100000010 |
3 | 22111210111021110 |
4 | 13101313030002 |
5 | 222230414020 |
6 | 20041304150 |
7 | 3012012522 |
oct | 721671402 |
9 | 274714243 |
10 | 122123010 |
11 | 62a31909 |
12 | 34a95056 |
13 | 1c3bb349 |
14 | 1230d682 |
15 | aac48e0 |
hex | 7477302 |
122123010 has 64 divisors (see below), whose sum is σ = 307359360. Its totient is φ = 31019520.
The previous prime is 122123009. The next prime is 122123011. The reversal of 122123010 is 10321221.
It is an interprime number because it is at equal distance from previous prime (122123009) and next prime (122123011).
It is not an unprimeable number, because it can be changed into a prime (122123011) 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 31 ways as a sum of consecutive naturals, for example, 51736 + ... + 54044.
It is an arithmetic number, because the mean of its divisors is an integer number (4802490).
Almost surely, 2122123010 is an apocalyptic number.
122123010 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 122123010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153679680).
122123010 is an abundant number, since it is smaller than the sum of its proper divisors (185236350).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122123010 is a wasteful number, since it uses less digits than its factorization.
122123010 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2403.
The product of its (nonzero) digits is 24, while the sum is 12.
The square root of 122123010 is about 11050.9280153298. The cubic root of 122123010 is about 496.1342015677.
Adding to 122123010 its reverse (10321221), we get a palindrome (132444231).
The spelling of 122123010 in words is "one hundred twenty-two million, one hundred twenty-three thousand, ten".
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