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221201222221001 = 11191127393886193
BaseRepresentation
bin110010010010111001101100…
…010001100011110011001001
31002000012122000111121221020002
4302102321230101203303021
5212443130100342033001
62102242234424412345
764410155331630131
oct6222715421436311
91060178014557202
10221201222221001
1164532a03270180
12209863419170b5
1396572551320b9
143c8a2a6841ac1
151a88e4108a46b
hexc92e6c463cc9

221201222221001 has 16 divisors (see below), whose sum is σ = 254033508277440. Its totient is φ = 190491328120320.

The previous prime is 221201222220931. The next prime is 221201222221061. The reversal of 221201222221001 is 100122222102122.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-221201222221001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (221201222221061) 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 15 ways as a sum of consecutive naturals, for example, 44587040 + ... + 49299153.

It is an arithmetic number, because the mean of its divisors is an integer number (15877094267340).

Almost surely, 2221201222221001 is an apocalyptic number.

It is an amenable number.

221201222221001 is a deficient number, since it is larger than the sum of its proper divisors (32832286056439).

221201222221001 is a wasteful number, since it uses less digits than its factorization.

221201222221001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93897496.

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 221201222221001 its reverse (100122222102122), we get a palindrome (321323444323123).

The spelling of 221201222221001 in words is "two hundred twenty-one trillion, two hundred one billion, two hundred twenty-two million, two hundred twenty-one thousand, one".

Divisors: 1 11 19 209 11273 124003 214187 2356057 93886193 1032748123 1783837667 19622214337 1058379053689 11642169590579 20109202020091 221201222221001