Base | Representation |
---|---|
bin | 111000110100011111… |
… | …1010110111111111000 |
3 | 102122221211010212101120 |
4 | 1301220333112333320 |
5 | 3444344223232044 |
6 | 132015551145240 |
7 | 11546532225000 |
oct | 1615077267770 |
9 | 378854125346 |
10 | 122020524024 |
11 | 4782644a793 |
12 | 1b794515220 |
13 | b677999509 |
14 | 5c97825000 |
15 | 329256e519 |
hex | 1c68fd6ff8 |
122020524024 has 128 divisors (see below), whose sum is σ = 357073920000. Its totient is φ = 34732774272.
The previous prime is 122020524023. The next prime is 122020524029. The reversal of 122020524024 is 420425020221.
It is a super-2 number, since 2×1220205240242 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a junction number, because it is equal to n+sod(n) for n = 122020523985 and 122020524003.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (122020524023) 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, 2186857 + ... + 2241959.
It is an arithmetic number, because the mean of its divisors is an integer number (2789640000).
Almost surely, 2122020524024 is an apocalyptic number.
122020524024 is a gapful number since it is divisible by the number (14) 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 122020524024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178536960000).
122020524024 is an abundant number, since it is smaller than the sum of its proper divisors (235053395976).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122020524024 is a wasteful number, since it uses less digits than its factorization.
122020524024 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 55402 (or 55384 counting only the distinct ones).
The product of its (nonzero) digits is 2560, while the sum is 24.
Adding to 122020524024 its reverse (420425020221), we get a palindrome (542445544245).
The spelling of 122020524024 in words is "one hundred twenty-two billion, twenty million, five hundred twenty-four thousand, twenty-four".
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