Search a number
-
+
221011202111081 is a prime number
BaseRepresentation
bin110010010000001000101110…
…001100010111011001101001
31001222112110112200021012020012
4302100020232030113121221
5212432021420220023311
62102015051122141305
764360350422430434
oct6220105614273151
91058473480235205
10221011202111081
116446a362929118
12209555504b1835
1396423615abc35
143c80ddbd6a81b
151a8401dd5078b
hexc9022e317669

221011202111081 has 2 divisors, whose sum is σ = 221011202111082. Its totient is φ = 221011202111080.

The previous prime is 221011202111039. The next prime is 221011202111093. The reversal of 221011202111081 is 180111202110122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 159798041265625 + 61213160845456 = 12641125^2 + 7823884^2 .

It is a cyclic number.

It is not a de Polignac number, because 221011202111081 - 222 = 221011197916777 is a prime.

It is a super-3 number, since 3×2210112021110813 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (221011202131081) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110505601055540 + 110505601055541.

It is an arithmetic number, because the mean of its divisors is an integer number (110505601055541).

Almost surely, 2221011202111081 is an apocalyptic number.

It is an amenable number.

221011202111081 is a deficient number, since it is larger than the sum of its proper divisors (1).

221011202111081 is an equidigital number, since it uses as much as digits as its factorization.

221011202111081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 23.

The spelling of 221011202111081 in words is "two hundred twenty-one trillion, eleven billion, two hundred two million, one hundred eleven thousand, eighty-one".