Base | Representation |
---|---|
bin | 11101011001101011111… |
… | …11000000010001110100 |
3 | 10120120120011211210221200 |
4 | 32230311333000101310 |
5 | 113022414043220340 |
6 | 2052031241212500 |
7 | 132662161005315 |
oct | 16546577002164 |
9 | 3516504753850 |
10 | 1010223023220 |
11 | 35a484618614 |
12 | 143955791130 |
13 | 743572417c8 |
14 | 36c7606260c |
15 | 1b428eca330 |
hex | eb35fc0474 |
1010223023220 has 144 divisors (see below), whose sum is σ = 3216724842240. Its totient is φ = 256136905728.
The previous prime is 1010223023153. The next prime is 1010223023221. The reversal of 1010223023220 is 223203220101.
1010223023220 is a `hidden beast` number, since 10 + 10 + 22 + 302 + 322 + 0 = 666.
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 = 1010223023193 and 1010223023202.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1010223023221) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39205 + ... + 1421964.
It is an arithmetic number, because the mean of its divisors is an integer number (22338366960).
Almost surely, 21010223023220 is an apocalyptic number.
1010223023220 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 1010223023220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1608362421120).
1010223023220 is an abundant number, since it is smaller than the sum of its proper divisors (2206501819020).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1010223023220 is a wasteful number, since it uses less digits than its factorization.
1010223023220 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1461374 (or 1461369 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 18.
Adding to 1010223023220 its reverse (223203220101), we get a palindrome (1233426243321).
The spelling of 1010223023220 in words is "one trillion, ten billion, two hundred twenty-three million, twenty-three thousand, two hundred twenty".
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