Base | Representation |
---|---|
bin | 11101110000001011111… |
… | …01001001110000110100 |
3 | 10121201201222211011221002 |
4 | 32320011331021300310 |
5 | 113222133321231200 |
6 | 2101350014342432 |
7 | 133600412520560 |
oct | 16700575116064 |
9 | 3551658734832 |
10 | 1022302133300 |
11 | 3646129a2818 |
12 | 146166abaa18 |
13 | 755308b4616 |
14 | 376a03946a0 |
15 | 1b8d4675bd5 |
hex | ee05f49c34 |
1022302133300 has 144 divisors (see below), whose sum is σ = 2648706721920. Its totient is φ = 335065920000.
The previous prime is 1022302133291. The next prime is 1022302133317. The reversal of 1022302133300 is 33312032201.
1022302133300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (20).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1800995 + ... + 2299605.
It is an arithmetic number, because the mean of its divisors is an integer number (18393796680).
Almost surely, 21022302133300 is an apocalyptic number.
1022302133300 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 1022302133300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1324353360960).
1022302133300 is an abundant number, since it is smaller than the sum of its proper divisors (1626404588620).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1022302133300 is a wasteful number, since it uses less digits than its factorization.
1022302133300 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 498762 (or 498755 counting only the distinct ones).
The product of its (nonzero) digits is 648, while the sum is 20.
Adding to 1022302133300 its reverse (33312032201), we get a palindrome (1055614165501).
The spelling of 1022302133300 in words is "one trillion, twenty-two billion, three hundred two million, one hundred thirty-three thousand, three hundred".
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