Base | Representation |
---|---|
bin | 111001011010101000… |
… | …1000000110010000000 |
3 | 102210021000010011022000 |
4 | 1302311101000302000 |
5 | 4010004324020112 |
6 | 132350543344000 |
7 | 11623331402103 |
oct | 1626521006200 |
9 | 383230104260 |
10 | 123300220032 |
11 | 4832283a2a0 |
12 | 1ba90bb2000 |
13 | b81cb458a2 |
14 | 5d7977c73a |
15 | 3319a9d7dc |
hex | 1cb5440c80 |
123300220032 has 128 divisors (see below), whose sum is σ = 396989467200. Its totient is φ = 37363691520.
The previous prime is 123300220031. The next prime is 123300220037. The reversal of 123300220032 is 230022003321.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (128).
It is a super-2 number, since 2×1233002200322 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 123300219987 and 123300220014.
It is not an unprimeable number, because it can be changed into a prime (123300220031) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1583673 + ... + 1659704.
Almost surely, 2123300220032 is an apocalyptic number.
123300220032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.
It is an amenable number.
123300220032 is an abundant number, since it is smaller than the sum of its proper divisors (273689247168).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
123300220032 is a wasteful number, since it uses less digits than its factorization.
123300220032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3243411 (or 3243393 counting only the distinct ones).
The product of its (nonzero) digits is 432, while the sum is 18.
Adding to 123300220032 its reverse (230022003321), we get a palindrome (353322223353).
The spelling of 123300220032 in words is "one hundred twenty-three billion, three hundred million, two hundred twenty thousand, thirty-two".
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