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20110200201 = 32721317206341
BaseRepresentation
bin10010101110101010…
…010100110110001001
31220220111220000111200
4102232222110312021
5312141202401301
613123303214413
71311230611200
oct225652246611
956814800450
1020110200201
11858a758073
123a92a47409
131b86480160
14d8abb0237
157ca787c86
hex4aea94d89

20110200201 has 72 divisors (see below), whose sum is σ = 38530654344. Its totient is φ = 9983554560.

The previous prime is 20110200181. The next prime is 20110200211. The reversal of 20110200201 is 10200201102.

It can be written as a sum of positive squares in 4 ways, for example, as 8441015625 + 11669184576 = 91875^2 + 108024^2 .

It is not a de Polignac number, because 20110200201 - 26 = 20110200137 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (20110200211) 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 71 ways as a sum of consecutive naturals, for example, 5710 + ... + 200631.

It is an arithmetic number, because the mean of its divisors is an integer number (535147977).

Almost surely, 220110200201 is an apocalyptic number.

20110200201 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

20110200201 is a deficient number, since it is larger than the sum of its proper divisors (18420454143).

20110200201 is a wasteful number, since it uses less digits than its factorization.

20110200201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206391 (or 206381 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 20110200201 its reverse (10200201102), we get a palindrome (30310401303).

Subtracting from 20110200201 its reverse (10200201102), we obtain a palindrome (9909999099).

The spelling of 20110200201 in words is "twenty billion, one hundred ten million, two hundred thousand, two hundred one".

Divisors: 1 3 7 9 13 17 21 39 49 51 63 91 117 119 147 153 221 273 357 441 637 663 819 833 1071 1547 1911 1989 2499 4641 5733 7497 10829 13923 32487 97461 206341 619023 1444387 1857069 2682433 3507797 4333161 8047299 10110709 10523391 12999483 18777031 24141897 24554579 30332127 31570173 45601361 56331093 73663737 90996381 131439217 136804083 168993279 171882053 220991211 319209527 394317651 410412249 515646159 957628581 1182952953 1546938477 2234466689 2872885743 6703400067 20110200201