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20100200020 = 22523383114089
BaseRepresentation
bin10010101110000100…
…001011011001010100
31220212211001221211121
4102232010023121110
5312131122400040
613122305013324
71311046611145
oct225604133124
956784057747
1020100200020
11858504785a
123a8b624244
131b8438b4a4
14d89729acc
157c995ec4a
hex4ae10b654

20100200020 has 48 divisors (see below), whose sum is σ = 44161044480. Its totient is φ = 7670364416.

The previous prime is 20100200011. The next prime is 20100200027. The reversal of 20100200020 is 2000200102.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 20100199976 and 20100200012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20100200027) 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, 119136 + ... + 233224.

It is an arithmetic number, because the mean of its divisors is an integer number (920021760).

Almost surely, 220100200020 is an apocalyptic number.

20100200020 is a gapful number since it is divisible by the number (20) 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 20100200020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22080522240).

20100200020 is an abundant number, since it is smaller than the sum of its proper divisors (24060844460).

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

20100200020 is a wasteful number, since it uses less digits than its factorization.

20100200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114504 (or 114502 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

Adding to 20100200020 its reverse (2000200102), we get a palindrome (22100400122).

The spelling of 20100200020 in words is "twenty billion, one hundred million, two hundred thousand, twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 383 460 766 1532 1915 3830 7660 8809 17618 35236 44045 88090 114089 176180 228178 456356 570445 1140890 2281780 2624047 5248094 10496188 13120235 26240470 43696087 52480940 87392174 174784348 218480435 436960870 873921740 1005010001 2010020002 4020040004 5025050005 10050100010 20100200020