Base | Representation |
---|---|
bin | 111000110110100010… |
… | …1001000100000000000 |
3 | 102200010121021020112212 |
4 | 1301231011020200000 |
5 | 4000014310140433 |
6 | 132030442041252 |
7 | 11551324423100 |
oct | 1615505104000 |
9 | 380117236485 |
10 | 122089146368 |
11 | 4786115a772 |
12 | 1b7b34a9228 |
13 | b688c74c57 |
14 | 5ca29a9200 |
15 | 32985c6d48 |
hex | 1c6d148800 |
122089146368 has 108 divisors (see below), whose sum is σ = 284232479895. Its totient is φ = 52276482048.
The previous prime is 122089146359. The next prime is 122089146373. The reversal of 122089146368 is 863641980221.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
122089146368 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in only one way, i.e., 61044573184 + 61044573184 = 247072^2 + 247072^2 .
It is an ABA number since it can be written as A⋅BA, here for A=2, B=247072.
It is an unprimeable number.
It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 110687705 + ... + 110688807.
Almost surely, 2122089146368 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 122089146368
122089146368 is an abundant number, since it is smaller than the sum of its proper divisors (162143333527).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122089146368 is an frugal number, since it uses more digits than its factorization.
122089146368 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2242 (or 1112 counting only the distinct ones).
The product of its (nonzero) digits is 995328, while the sum is 50.
Multiplying 122089146368 by its sum of digits (50), we get a square (6104457318400 = 24707202).
The spelling of 122089146368 in words is "one hundred twenty-two billion, eighty-nine million, one hundred forty-six thousand, three hundred sixty-eight".
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