Base | Representation |
---|---|
bin | 11100000000110011111001… |
… | …001110000001111110000100 |
3 | 121011012220101010112001020201 |
4 | 130000303321032001332010 |
5 | 112122011143404421312 |
6 | 1114005434011340244 |
7 | 34643660126614150 |
oct | 3400637116017604 |
9 | 534186333461221 |
10 | 123201023123332 |
11 | 3628a295788860 |
12 | 11999225451684 |
13 | 5398a64220b5b |
14 | 225cd65c94060 |
15 | e39b1c06b557 |
hex | 700cf9381f84 |
123201023123332 has 96 divisors (see below), whose sum is σ = 271527910585344. Its totient is φ = 47513895408000.
The previous prime is 123201023123281. The next prime is 123201023123333. The reversal of 123201023123332 is 233321320102321.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (28).
It is a self number, because there is not a number n which added to its sum of digits gives 123201023123332.
It is not an unprimeable number, because it can be changed into a prime (123201023123333) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 131524543 + ... + 132457945.
It is an arithmetic number, because the mean of its divisors is an integer number (2828415735264).
Almost surely, 2123201023123332 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 123201023123332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135763955292672).
123201023123332 is an abundant number, since it is smaller than the sum of its proper divisors (148326887462012).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
123201023123332 is a wasteful number, since it uses less digits than its factorization.
123201023123332 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 937769 (or 937767 counting only the distinct ones).
The product of its (nonzero) digits is 7776, while the sum is 28.
Adding to 123201023123332 its reverse (233321320102321), we get a palindrome (356522343225653).
It can be divided in two parts, 1232010 and 23123332, that added together give a palindrome (24355342).
The spelling of 123201023123332 in words is "one hundred twenty-three trillion, two hundred one billion, twenty-three million, one hundred twenty-three thousand, three hundred thirty-two".
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