Base | Representation |
---|---|
bin | 101111100011100000… |
… | …0110011001000100000 |
3 | 100202121010200011210111 |
4 | 1133013000303020200 |
5 | 3133122004420412 |
6 | 114525324541104 |
7 | 10243464140104 |
oct | 1370700631040 |
9 | 322533604714 |
10 | 102123123232 |
11 | 3a345927aa9 |
12 | 179609b1794 |
13 | 9826635490 |
14 | 4d2b009904 |
15 | 29ca81d2a7 |
hex | 17c7033220 |
102123123232 has 96 divisors (see below), whose sum is σ = 226207280880. Its totient is φ = 45057331200.
The previous prime is 102123123217. The next prime is 102123123233. The reversal of 102123123232 is 232321321201.
It can be written as a sum of positive squares in 8 ways, for example, as 85565610256 + 16557512976 = 292516^2 + 128676^2 .
It is not an unprimeable number, because it can be changed into a prime (102123123233) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1176558 + ... + 1260370.
Almost surely, 2102123123232 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 102123123232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113103640440).
102123123232 is an abundant number, since it is smaller than the sum of its proper divisors (124084157648).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
102123123232 is a wasteful number, since it uses less digits than its factorization.
102123123232 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 83966 (or 83958 counting only the distinct ones).
The product of its (nonzero) digits is 864, while the sum is 22.
Adding to 102123123232 its reverse (232321321201), we get a palindrome (334444444433).
The spelling of 102123123232 in words is "one hundred two billion, one hundred twenty-three million, one hundred twenty-three thousand, two hundred thirty-two".
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