Base | Representation |
---|---|
bin | 11101110001101011100… |
… | …01100110000110100100 |
3 | 10121210210220110001200200 |
4 | 32320311301212012210 |
5 | 113230304212110040 |
6 | 2102001354110500 |
7 | 133626323666010 |
oct | 16706561460644 |
9 | 3553726401620 |
10 | 1023104410020 |
11 | 364994849130 |
12 | 14634b71b430 |
13 | 7562ab83884 |
14 | 37738b53540 |
15 | 1b92ecec630 |
hex | ee35c661a4 |
1023104410020 has 288 divisors, whose sum is σ = 3870104749056. Its totient is φ = 212543136000.
The previous prime is 1023104410007. The next prime is 1023104410037. The reversal of 1023104410020 is 200144013201.
1023104410020 is a `hidden beast` number, since 1 + 0 + 231 + 0 + 4 + 410 + 0 + 20 = 666.
1023104410020 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 (18).
It is a junction number, because it is equal to n+sod(n) for n = 1023104409975 and 1023104410002.
It is an unprimeable number.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 103265907 + ... + 103275813.
It is an arithmetic number, because the mean of its divisors is an integer number (13437863712).
Almost surely, 21023104410020 is an apocalyptic number.
1023104410020 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 1023104410020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1935052374528).
1023104410020 is an abundant number, since it is smaller than the sum of its proper divisors (2847000339036).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1023104410020 is a wasteful number, since it uses less digits than its factorization.
1023104410020 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 17391 (or 17386 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 18.
Adding to 1023104410020 its reverse (200144013201), we get a palindrome (1223248423221).
The spelling of 1023104410020 in words is "one trillion, twenty-three billion, one hundred four million, four hundred ten thousand, twenty".
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