Base | Representation |
---|---|
bin | 111001010001110000… |
… | …0101001111110000100 |
3 | 102202111020120211101100 |
4 | 1302203200221332010 |
5 | 4003402044043022 |
6 | 132301222500100 |
7 | 11613053364021 |
oct | 1624340517604 |
9 | 382436524340 |
10 | 123002331012 |
11 | 4818a677920 |
12 | 1ba09294630 |
13 | b7a32068b2 |
14 | 5d4bd98548 |
15 | 32ed85a1ac |
hex | 1ca3829f84 |
123002331012 has 144 divisors (see below), whose sum is σ = 359413576704. Its totient is φ = 35054208000.
The previous prime is 123002330977. The next prime is 123002331017. The reversal of 123002331012 is 210133200321.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is not an unprimeable number, because it can be changed into a prime (123002331017) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9896562 + ... + 9908982.
It is an arithmetic number, because the mean of its divisors is an integer number (2495927616).
Almost surely, 2123002331012 is an apocalyptic number.
123002331012 is a gapful number since it is divisible by the number (12) 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 123002331012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179706788352).
123002331012 is an abundant number, since it is smaller than the sum of its proper divisors (236411245692).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
123002331012 is a wasteful number, since it uses less digits than its factorization.
123002331012 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 13930 (or 13925 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 18.
Adding to 123002331012 its reverse (210133200321), we get a palindrome (333135531333).
The spelling of 123002331012 in words is "one hundred twenty-three billion, two million, three hundred thirty-one thousand, twelve".
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