Base | Representation |
---|---|
bin | 1001000110000101010001… |
… | …1010111110000001011100 |
3 | 1022102000000011211000020000 |
4 | 2101201110122332001130 |
5 | 2302320201124033040 |
6 | 33133552125054300 |
7 | 2051324543250000 |
oct | 221412432760134 |
9 | 38360004730200 |
10 | 10000100221020 |
11 | 3206022966608 |
12 | 11561053b7390 |
13 | 57700bb487c0 |
14 | 26801657a700 |
15 | 1251d3b3d130 |
hex | 918546be05c |
10000100221020 has 600 divisors, whose sum is σ = 39412304256864. Its totient is φ = 2109900586752.
The previous prime is 10000100221009. The next prime is 10000100221021. The reversal of 10000100221020 is 2012200100001.
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a junction number, because it is equal to n+sod(n) for n = 10000100220993 and 10000100221011.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10000100221021) by changing a digit.
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 199 ways as a sum of consecutive naturals, for example, 50466177 + ... + 50663943.
Almost surely, 210000100221020 is an apocalyptic number.
10000100221020 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 10000100221020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19706152128432).
10000100221020 is an abundant number, since it is smaller than the sum of its proper divisors (29412204035844).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10000100221020 is a wasteful number, since it uses less digits than its factorization.
10000100221020 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 197829 (or 197797 counting only the distinct ones).
The product of its (nonzero) digits is 8, while the sum is 9.
Adding to 10000100221020 its reverse (2012200100001), we get a palindrome (12012300321021).
The spelling of 10000100221020 in words is "ten trillion, one hundred million, two hundred twenty-one thousand, twenty".
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