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1000210200020 = 225269318570557
BaseRepresentation
bin11101000111000010010…
…11000111010111010100
310112121201100221200200222
432203201023013113110
5112341412302400040
62043253515453512
7132156066265043
oct16434113072724
93477640850628
101000210200020
11356206645319
12141a20457298
137341c9b4755
14365a632255a
151b03ee37bb5
hexe8e12c75d4

1000210200020 has 24 divisors (see below), whose sum is σ = 2101221496584. Its totient is φ = 399935494016.

The previous prime is 1000210199941. The next prime is 1000210200029. The reversal of 1000210200020 is 200020120001.

1000210200020 is digitally balanced in base 2, 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 4 ways, for example, as 41028933136 + 959181266884 = 202556^2 + 979378^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1000210199980 and 1000210200007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000210200029) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9231419 + ... + 9339138.

It is an arithmetic number, because the mean of its divisors is an integer number (87550895691).

Almost surely, 21000210200020 is an apocalyptic number.

1000210200020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000210200020 is an abundant number, since it is smaller than the sum of its proper divisors (1101011296564).

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

1000210200020 is a wasteful number, since it uses less digits than its factorization.

1000210200020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18573259 (or 18573257 counting only the distinct ones).

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

Adding to 1000210200020 its reverse (200020120001), we get a palindrome (1200230320021).

The spelling of 1000210200020 in words is "one trillion, two hundred ten million, two hundred thousand, twenty".

Divisors: 1 2 4 5 10 20 2693 5386 10772 13465 26930 53860 18570557 37141114 74282228 92852785 185705570 371411140 50010510001 100021020002 200042040004 250052550005 500105100010 1000210200020