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200001230000020 = 225101502119719281
BaseRepresentation
bin101101011110011001101010…
…010001001100111110010100
3222020010221010121002112101201
4231132121222101030332110
5202203310004340000040
61545211144024402244
760061416632201431
oct5536315221147624
9866127117075351
10200001230000020
11587aa05534a599
121a5216b3316384
13877a05c058347
14375617b122b88
15181c757053a9a
hexb5e66a44cf94

200001230000020 has 48 divisors (see below), whose sum is σ = 424245523329936. Its totient is φ = 79192628480000.

The previous prime is 200001229999969. The next prime is 200001230000021. The reversal of 200001230000020 is 20000032100002.

200001230000020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 31884385183876 + 168116844816144 = 5646626^2 + 12965988^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 200001229999961 and 200001230000006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200001230000021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 282780 + ... + 20002060.

It is an arithmetic number, because the mean of its divisors is an integer number (8838448402707).

Almost surely, 2200001230000020 is an apocalyptic number.

200001230000020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200001230000020 is an abundant number, since it is smaller than the sum of its proper divisors (224244293329916).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

200001230000020 is a wasteful number, since it uses less digits than its factorization.

200001230000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19724412 (or 19724410 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

Adding to 200001230000020 its reverse (20000032100002), we get a palindrome (220001262100022).

The spelling of 200001230000020 in words is "two hundred trillion, one billion, two hundred thirty million, twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 101 202 404 505 1010 2020 5021 10042 20084 25105 50210 100420 507121 1014242 2028484 2535605 5071210 10142420 19719281 39438562 78877124 98596405 197192810 394385620 1991647381 3983294762 7966589524 9958236905 19916473810 39832947620 99010509901 198021019802 396042039604 495052549505 990105099010 1980210198020 10000061500001 20000123000002 40000246000004 50000307500005 100000615000010 200001230000020