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20143011000213 = 32109257440918121
BaseRepresentation
bin1001001010001111010010…
…00000111110111110010101
32122022122122001220001012100
410211013221000332332111
510120010341304001323
6110501323240112313
74146166406330313
oct445075100767625
978278561801170
1020143011000213
11646666a645202
122313a25765699
13b3162990c15a
144d8cd97170b3
1524de750c0943
hex1251e903ef95

20143011000213 has 48 divisors (see below), whose sum is σ = 29484954298800. Its totient is φ = 13249965588480.

The previous prime is 20143011000199. The next prime is 20143011000253. The reversal of 20143011000213 is 31200011034102.

20143011000213 is a `hidden beast` number, since 20 + 1 + 430 + 1 + 1 + 0 + 0 + 0 + 213 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 201222222084 + 19941788778129 = 448578^2 + 4465623^2 .

It is not a de Polignac number, because 20143011000213 - 220 = 20143009951637 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20143011000253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1111574793 + ... + 1111592913.

It is an arithmetic number, because the mean of its divisors is an integer number (614269881225).

Almost surely, 220143011000213 is an apocalyptic number.

It is an amenable number.

20143011000213 is a deficient number, since it is larger than the sum of its proper divisors (9341943298587).

20143011000213 is a wasteful number, since it uses less digits than its factorization.

20143011000213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22902 (or 22899 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 20143011000213 its reverse (31200011034102), we get a palindrome (51343022034315).

The spelling of 20143011000213 in words is "twenty trillion, one hundred forty-three billion, eleven million, two hundred thirteen", and thus it is an aban number.

Divisors: 1 3 9 109 257 327 771 981 2313 4409 13227 18121 28013 39681 54363 84039 163089 252117 480581 1133113 1441743 1975189 3399339 4325229 4657097 5925567 10198017 13971291 17776701 41913873 79895489 123509317 239686467 370527951 507623573 719059401 1111583853 1522870719 4568612157 8708608301 20533140673 26125824903 61599422019 78377474709 184798266057 2238112333357 6714337000071 20143011000213