Base | Representation |
---|---|
bin | 111001011000100110… |
… | …1001001111100000100 |
3 | 102210002020221022022120 |
4 | 1302301031021330010 |
5 | 4004334404200400 |
6 | 132340111325540 |
7 | 11621543365524 |
oct | 1626115117404 |
9 | 383066838276 |
10 | 123232100100 |
11 | 4829834282a |
12 | 1ba722208b0 |
13 | b80b9b4a35 |
14 | 5d706c9684 |
15 | 3313ae4ca0 |
hex | 1cb1349f04 |
123232100100 has 144 divisors (see below), whose sum is σ = 366987636288. Its totient is φ = 31903925760.
The previous prime is 123232100093. The next prime is 123232100113. The reversal of 123232100100 is 1001232321.
It is a Harshad number since it is a multiple of its sum of digits (15).
It is a self number, because there is not a number n which added to its sum of digits gives 123232100100.
It is an unprimeable number.
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, 5171814 + ... + 5195586.
It is an arithmetic number, because the mean of its divisors is an integer number (2548525252).
Almost surely, 2123232100100 is an apocalyptic number.
123232100100 is a gapful number since it is divisible by the number (10) 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 123232100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183493818144).
123232100100 is an abundant number, since it is smaller than the sum of its proper divisors (243755536188).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
123232100100 is a wasteful number, since it uses less digits than its factorization.
123232100100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 24294 (or 24287 counting only the distinct ones).
The product of its (nonzero) digits is 72, while the sum is 15.
Adding to 123232100100 its reverse (1001232321), we get a palindrome (124233332421).
The spelling of 123232100100 in words is "one hundred twenty-three billion, two hundred thirty-two million, one hundred thousand, one hundred".
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