Base | Representation |
---|---|
bin | 11101011001010001101… |
… | …00101000011010011100 |
3 | 10120112222210022211202001 |
4 | 32230220310220122130 |
5 | 113021441030401340 |
6 | 2051553312212044 |
7 | 132653540023426 |
oct | 16545064503234 |
9 | 3515883284661 |
10 | 1010002200220 |
11 | 35a380a02a72 |
12 | 1438b383a024 |
13 | 74320576600 |
14 | 36c549bd816 |
15 | 1b41490b29a |
hex | eb28d2869c |
1010002200220 has 144 divisors (see below), whose sum is σ = 2401894676160. Its totient is φ = 355916740608.
The previous prime is 1010002200217. The next prime is 1010002200269. The reversal of 1010002200220 is 220022000101.
It is a Harshad number since it is a multiple of its sum of digits (10).
1010002200220 is a modest number, since divided by 2200220 gives 10100 as remainder.
It is a junction number, because it is equal to n+sod(n) for n = 1010002200197 and 1010002200206.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35512966 + ... + 35541394.
It is an arithmetic number, because the mean of its divisors is an integer number (16679824140).
Almost surely, 21010002200220 is an apocalyptic number.
1010002200220 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 1010002200220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1200947338080).
1010002200220 is an abundant number, since it is smaller than the sum of its proper divisors (1391892475940).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1010002200220 is a wasteful number, since it uses less digits than its factorization.
1010002200220 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 28944 (or 28929 counting only the distinct ones).
The product of its (nonzero) digits is 16, while the sum is 10.
Adding to 1010002200220 its reverse (220022000101), we get a palindrome (1230024200321).
The spelling of 1010002200220 in words is "one trillion, ten billion, two million, two hundred thousand, two hundred twenty".
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