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221202122201221 = 71929116349312831
BaseRepresentation
bin110010010010111010100001…
…111010101101100010000101
31002000012201100020002122222211
4302102322201322231202011
5212443133421240414341
62102242504014223421
764410216540424150
oct6222724172554205
91060181306078884
10221202122201221
1164533325289687
12209865531b4b71
13965736971c785
143c8a350194c97
151a88e950b1181
hexc92ea1ead885

221202122201221 has 32 divisors (see below), whose sum is σ = 275520654950400. Its totient is φ = 173279761583040.

The previous prime is 221202122201213. The next prime is 221202122201237. The reversal of 221202122201221 is 122102221202122.

It is not a de Polignac number, because 221202122201221 - 23 = 221202122201213 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 221202122201192 and 221202122201201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221202122211221) 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 31 ways as a sum of consecutive naturals, for example, 20170725 + ... + 29142106.

It is an arithmetic number, because the mean of its divisors is an integer number (8610020467200).

Almost surely, 2221202122201221 is an apocalyptic number.

It is an amenable number.

221202122201221 is a deficient number, since it is larger than the sum of its proper divisors (54318532749179).

221202122201221 is a wasteful number, since it uses less digits than its factorization.

221202122201221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49314049.

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 221202122201221 its reverse (122102221202122), we get a palindrome (343304343403343).

Subtracting from 221202122201221 its reverse (122102221202122), we obtain a palindrome (99099900999099).

The spelling of 221202122201221 in words is "two hundred twenty-one trillion, two hundred two billion, one hundred twenty-two million, two hundred one thousand, two hundred twenty-one".

Divisors: 1 7 19 29 133 203 551 1163 3857 8141 22097 33727 154679 236089 640813 4485691 49312831 345189817 936943789 1430072099 6558606523 10010504693 27171369881 57350822453 190199589167 401455757171 1089665626607 1663173851137 7627659386249 11642216957959 31600303171603 221202122201221