Search a number
-
+
20100300020 = 2254127788493
BaseRepresentation
bin10010101110000100…
…100011110011110100
31220212211021001000022
4102232010203303310
5312131134100040
613122311104312
71311050505533
oct225604436364
956784231008
1020100300020
1185851059a9
123a8b672098
131b843c4b68
14d8975431a
157c997e6b5
hex4ae123cf4

20100300020 has 48 divisors (see below), whose sum is σ = 43396749648. Its totient is φ = 7815613440.

The previous prime is 20100300019. The next prime is 20100300029. The reversal of 20100300020 is 2000300102.

It can be written as a sum of positive squares in 8 ways, for example, as 9531226384 + 10569073636 = 97628^2 + 102806^2 .

It is a junction number, because it is equal to n+sod(n) for n = 20100299980 and 20100300007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20100300029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 182894 + ... + 271386.

It is an arithmetic number, because the mean of its divisors is an integer number (904098951).

Almost surely, 220100300020 is an apocalyptic number.

20100300020 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 20100300020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21698374824).

20100300020 is an abundant number, since it is smaller than the sum of its proper divisors (23296449628).

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

20100300020 is a wasteful number, since it uses less digits than its factorization.

20100300020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88820 (or 88818 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

Adding to 20100300020 its reverse (2000300102), we get a palindrome (22100600122).

The spelling of 20100300020 in words is "twenty billion, one hundred million, three hundred thousand, twenty".

Divisors: 1 2 4 5 10 20 41 82 164 205 277 410 554 820 1108 1385 2770 5540 11357 22714 45428 56785 88493 113570 176986 227140 353972 442465 884930 1769860 3628213 7256426 14512852 18141065 24512561 36282130 49025122 72564260 98050244 122562805 245125610 490251220 1005015001 2010030002 4020060004 5025075005 10050150010 20100300020