Base | Representation |
---|---|
bin | 11101110001100101100… |
… | …01101011011000110100 |
3 | 10121210200101210001100100 |
4 | 32320302301223120310 |
5 | 113230203322200040 |
6 | 2101552355514100 |
7 | 133625143240431 |
oct | 16706261533064 |
9 | 3553611701310 |
10 | 1023054100020 |
11 | 364969406517 |
12 | 1463368b8930 |
13 | 7562061a344 |
14 | 377321b8b88 |
15 | 1b92a6b0b30 |
hex | ee32c6b634 |
1023054100020 has 36 divisors (see below), whose sum is σ = 3103264103940. Its totient is φ = 272814426624.
The previous prime is 1023054100009. The next prime is 1023054100039. The reversal of 1023054100020 is 200014503201.
1023054100020 is a `hidden beast` number, since 1 + 0 + 230 + 5 + 410 + 0 + 0 + 20 = 666.
It can be written as a sum of positive squares in 2 ways, for example, as 424785883536 + 598268216484 = 651756^2 + 773478^2 .
It is a tau number, because it is divible by the number of its divisors (36).
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 = 1023054099966 and 1023054100002.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2841816765 + ... + 2841817124.
It is an arithmetic number, because the mean of its divisors is an integer number (86201780665).
Almost surely, 21023054100020 is an apocalyptic number.
1023054100020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
1023054100020 is an abundant number, since it is smaller than the sum of its proper divisors (2080210003920).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1023054100020 is a wasteful number, since it uses less digits than its factorization.
1023054100020 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5683633904 (or 5683633899 counting only the distinct ones).
The product of its (nonzero) digits is 240, while the sum is 18.
Adding to 1023054100020 its reverse (200014503201), we get a palindrome (1223068603221).
The spelling of 1023054100020 in words is "one trillion, twenty-three billion, fifty-four million, one hundred thousand, twenty".
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