Base | Representation |
---|---|
bin | 111001000000100000… |
… | …0010000100111010000 |
3 | 102200222220020202102220 |
4 | 1302001000100213100 |
5 | 4001210343210300 |
6 | 132123542341040 |
7 | 11562523562004 |
oct | 1620100204720 |
9 | 380886222386 |
10 | 122423413200 |
11 | 47a12909350 |
12 | 1b88742a780 |
13 | b7102acb8a |
14 | 5cd513c704 |
15 | 32b7b03da0 |
hex | 1c810109d0 |
122423413200 has 240 divisors, whose sum is σ = 434830389312. Its totient is φ = 29191680000.
The previous prime is 122423413183. The next prime is 122423413201. The reversal of 122423413200 is 2314324221.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (240).
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (122423413201) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 729180 + ... + 881220.
Almost surely, 2122423413200 is an apocalyptic number.
122423413200 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 122423413200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217415194656).
122423413200 is an abundant number, since it is smaller than the sum of its proper divisors (312406976112).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122423413200 is a wasteful number, since it uses less digits than its factorization.
122423413200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 152134 (or 152123 counting only the distinct ones).
The product of its (nonzero) digits is 2304, while the sum is 24.
Adding to 122423413200 its reverse (2314324221), we get a palindrome (124737737421).
The spelling of 122423413200 in words is "one hundred twenty-two billion, four hundred twenty-three million, four hundred thirteen thousand, two hundred".
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