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212201112221201 = 17101143698601037
BaseRepresentation
bin110000001111111011101011…
…111010100011011000010001
31000211100020011100211112112002
4300033323223322203120101
5210303200334212034301
62031151502320243345
762461011244110455
oct6017735372433021
91024306140745462
10212201112221201
1161682a93860624
121b971bb7170555
13915362c53a18c
143a588352c4665
15197ec87dd116b
hexc0feebea3611

212201112221201 has 16 divisors (see below), whose sum is σ = 226923937886160. Its totient is φ = 197727496396800.

The previous prime is 212201112221173. The next prime is 212201112221209. The reversal of 212201112221201 is 102122211102212.

It can be written as a sum of positive squares in 8 ways, for example, as 44738774577025 + 167462337644176 = 6688705^2 + 12940724^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-212201112221201 is a prime.

It is not an unprimeable number, because it can be changed into a prime (212201112221209) 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, 20371055 + ... + 28972091.

It is an arithmetic number, because the mean of its divisors is an integer number (14182746117885).

Almost surely, 2212201112221201 is an apocalyptic number.

It is an amenable number.

212201112221201 is a deficient number, since it is larger than the sum of its proper divisors (14722825664959).

212201112221201 is a wasteful number, since it uses less digits than its factorization.

212201112221201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8615524.

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 212201112221201 its reverse (102122211102212), we get a palindrome (314323323323413).

The spelling of 212201112221201 in words is "two hundred twelve trillion, two hundred one billion, one hundred twelve million, two hundred twenty-one thousand, two hundred one".

Divisors: 1 17 101 1717 14369 244273 1451269 8601037 24671573 146217629 868704737 14767980529 123588300653 2101001111101 12482418365953 212201112221201