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20000211210001 = 1117971102608259
BaseRepresentation
bin1001000110000101010010…
…11111000000111100010001
32121211000001002220002022101
410203002221133000330101
510110140413032210001
6110311545321040401
74132652610205321
oct443025137007421
977730032802271
1020000211210001
116411050907260
1222b0212326101
13b2101cc94579
144d203031b281
1524a3b86a6a01
hex1230a97c0f11

20000211210001 has 16 divisors (see below), whose sum is σ = 23340011647680. Its totient is φ = 16936062842880.

The previous prime is 20000211209999. The next prime is 20000211210071. The reversal of 20000211210001 is 10001211200002.

It is a cyclic number.

It is not a de Polignac number, because 20000211210001 - 21 = 20000211209999 is a prime.

It is a super-3 number, since 3×200002112100013 (a number of 41 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 20000211210001.

It is not an unprimeable number, because it can be changed into a prime (20000211210071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 551285991 + ... + 551322268.

It is an arithmetic number, because the mean of its divisors is an integer number (1458750727980).

Almost surely, 220000211210001 is an apocalyptic number.

It is an amenable number.

20000211210001 is a deficient number, since it is larger than the sum of its proper divisors (3339800437679).

20000211210001 is a wasteful number, since it uses less digits than its factorization.

20000211210001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1102608384.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 20000211210001 its reverse (10001211200002), we get a palindrome (30001422410003).

Subtracting from 20000211210001 its reverse (10001211200002), we obtain a palindrome (9999000009999).

The spelling of 20000211210001 in words is "twenty trillion, two hundred eleven million, two hundred ten thousand, one".

Divisors: 1 11 17 97 187 1067 1649 18139 1102608259 12128690849 18744340403 106953001123 206187744433 1176483012353 1818201019091 20000211210001