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20201211200 = 265212625757
BaseRepresentation
bin10010110100000101…
…100000010101000000
31221010212010212010102
4102310011200111000
5312333002224300
613140314021532
71313414314322
oct226405402500
957125125112
1020201211200
118627069a75
123ab94178a8
131b9c297311
14d98d01612
157d37640d5
hex4b4160540

20201211200 has 42 divisors (see below), whose sum is σ = 49707609246. Its totient is φ = 8080483840.

The previous prime is 20201211169. The next prime is 20201211203. The reversal of 20201211200 is 211210202.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 146119744 + 20055091456 = 12088^2 + 141616^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20201211203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6311279 + ... + 6314478.

Almost surely, 220201211200 is an apocalyptic number.

20201211200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20201211200 is an abundant number, since it is smaller than the sum of its proper divisors (29506398046).

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

20201211200 is a wasteful number, since it uses less digits than its factorization.

20201211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12625779 (or 12625764 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 20201211200 its reverse (211210202), we get a palindrome (20412421402).

The spelling of 20201211200 in words is "twenty billion, two hundred one million, two hundred eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 800 1600 12625757 25251514 50503028 63128785 101006056 126257570 202012112 252515140 315643925 404024224 505030280 631287850 808048448 1010060560 1262575700 2020121120 2525151400 4040242240 5050302800 10100605600 20201211200