Base | Representation |
---|---|
bin | 1001000111010111010110… |
… | …0100111010110101100100 |
3 | 1022111002212120012111021102 |
4 | 2101311311210322311210 |
5 | 2303200311104022040 |
6 | 33152034211535232 |
7 | 2053034520405560 |
oct | 221656544726544 |
9 | 38432776174242 |
10 | 10022131314020 |
11 | 32143a8939891 |
12 | 115a4335ba518 |
13 | 5791102660c7 |
14 | 2691064d26a0 |
15 | 125a72d5e515 |
hex | 91d7593ad64 |
10022131314020 has 48 divisors (see below), whose sum is σ = 25098902777088. Its totient is φ = 3286761075840.
The previous prime is 10022131313977. The next prime is 10022131314047. The reversal of 10022131314020 is 2041313122001.
It is a Harshad number since it is a multiple of its sum of digits (20).
It is a junction number, because it is equal to n+sod(n) for n = 10022131313983 and 10022131314001.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1556228351 + ... + 1556234790.
It is an arithmetic number, because the mean of its divisors is an integer number (522893807856).
Almost surely, 210022131314020 is an apocalyptic number.
10022131314020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
10022131314020 is an abundant number, since it is smaller than the sum of its proper divisors (15076771463068).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10022131314020 is a wasteful number, since it uses less digits than its factorization.
10022131314020 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3112463180 (or 3112463178 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 20.
Adding to 10022131314020 its reverse (2041313122001), we get a palindrome (12063444436021).
The spelling of 10022131314020 in words is "ten trillion, twenty-two billion, one hundred thirty-one million, three hundred fourteen thousand, twenty".
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