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20212100111201 = 1132692487726729
BaseRepresentation
bin1001001100001111111110…
…00011000001101101100001
32122120020222000020112020212
410212013333003001231201
510122123340112024301
6110553151031343505
74154163453150005
oct446077703015541
978506860215225
1020212100111201
1164929a3647939
1223252a7521b95
13b37cba419a0b
144dc3b137a705
15250b6a7534bb
hex1261ff0c1b61

20212100111201 has 16 divisors (see below), whose sum is σ = 20468359573200. Its totient is φ = 19957210011648.

The previous prime is 20212100111143. The next prime is 20212100111227. The reversal of 20212100111201 is 10211100121202.

It can be written as a sum of positive squares in 8 ways, for example, as 12212683462225 + 7999416648976 = 3494665^2 + 2828324^2 .

It is a cyclic number.

It is not a de Polignac number, because 20212100111201 - 210 = 20212100110177 is a prime.

It is a super-2 number, since 2×202121001112012 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (20212100110201) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 756172805 + ... + 756199533.

It is an arithmetic number, because the mean of its divisors is an integer number (1279272473325).

Almost surely, 220212100111201 is an apocalyptic number.

It is an amenable number.

20212100111201 is a deficient number, since it is larger than the sum of its proper divisors (256259461999).

20212100111201 is a wasteful number, since it uses less digits than its factorization.

20212100111201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51988.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 20212100111201 its reverse (10211100121202), we get a palindrome (30423200232403).

The spelling of 20212100111201 in words is "twenty trillion, two hundred twelve billion, one hundred million, one hundred eleven thousand, two hundred one".

Divisors: 1 113 269 24877 26729 30397 2811101 3020377 6691913 7190101 664937333 756186169 812481413 75137918629 178868142577 20212100111201