Base | Representation |
---|---|
bin | 11101110000001011111… |
… | …01110101101010100000 |
3 | 10121201202000011022121002 |
4 | 32320011331311222200 |
5 | 113222133343004440 |
6 | 2101350022251132 |
7 | 133600414200044 |
oct | 16700575655240 |
9 | 3551660138532 |
10 | 1022302313120 |
11 | 364613005930 |
12 | 146166b86aa8 |
13 | 7553094841a |
14 | 376a0400024 |
15 | 1b8d46ae115 |
hex | ee05f75aa0 |
1022302313120 has 96 divisors (see below), whose sum is σ = 2641632860160. Its totient is φ = 370775434240.
The previous prime is 1022302313107. The next prime is 1022302313143. The reversal of 1022302313120 is 213132032201.
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 = 1022302313092 and 1022302313101.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84215 + ... + 1432374.
It is an arithmetic number, because the mean of its divisors is an integer number (27517008960).
Almost surely, 21022302313120 is an apocalyptic number.
1022302313120 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 1022302313120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1320816430080).
1022302313120 is an abundant number, since it is smaller than the sum of its proper divisors (1619330547040).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1022302313120 is a wasteful number, since it uses less digits than its factorization.
1022302313120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1516998 (or 1516990 counting only the distinct ones).
The product of its (nonzero) digits is 432, while the sum is 20.
Adding to 1022302313120 its reverse (213132032201), we get a palindrome (1235434345321).
The spelling of 1022302313120 in words is "one trillion, twenty-two billion, three hundred two million, three hundred thirteen thousand, one hundred twenty".
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