Base | Representation |
---|---|
bin | 11101110000001100000… |
… | …00011101111000001010 |
3 | 10121201202001110022201200 |
4 | 32320012000131320022 |
5 | 113222134032031442 |
6 | 2101350045125030 |
7 | 133600423066563 |
oct | 16700600357012 |
9 | 3551661408650 |
10 | 1022303002122 |
11 | 364613436556 |
12 | 146167259776 |
13 | 75530b29c0c |
14 | 376a053d16a |
15 | 1b8d479834c |
hex | ee0601de0a |
1022303002122 has 48 divisors (see below), whose sum is σ = 2342955371328. Its totient is φ = 321486580800.
The previous prime is 1022303002081. The next prime is 1022303002129. The reversal of 1022303002122 is 2212003032201.
1022303002122 is a `hidden beast` number, since 10 + 2 + 230 + 300 + 2 + 122 = 666.
It is a super-3 number, since 3×10223030021223 (a number of 37 digits) contains 333 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 = 1022303002095 and 1022303002104.
It is not an unprimeable number, because it can be changed into a prime (1022303002129) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16883004 + ... + 16943447.
It is an arithmetic number, because the mean of its divisors is an integer number (48811570236).
Almost surely, 21022303002122 is an apocalyptic number.
1022303002122 is an abundant number, since it is smaller than the sum of its proper divisors (1320652369206).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1022303002122 is a wasteful number, since it uses less digits than its factorization.
1022303002122 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 33826555 (or 33826552 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 18.
Adding to 1022303002122 its reverse (2212003032201), we get a palindrome (3234306034323).
The spelling of 1022303002122 in words is "one trillion, twenty-two billion, three hundred three million, two thousand, one hundred twenty-two".
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