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221220212201 is a prime number
BaseRepresentation
bin1100111000000111000…
…0001000110111101001
3210011000012212011012122
43032001300020313221
512111024333242301
6245343244521025
721661020530612
oct3160160106751
9704005764178
10221220212201
118590105175a
1236a5a250175
1317b26747161
14a9c8478c09
155b4b3be81b
hex3381c08de9

221220212201 has 2 divisors, whose sum is σ = 221220212202. Its totient is φ = 221220212200.

The previous prime is 221220212183. The next prime is 221220212219. The reversal of 221220212201 is 102212022122.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (221220212183) and next prime (221220212219).

It can be written as a sum of positive squares in only one way, i.e., 198434611600 + 22785600601 = 445460^2 + 150949^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-221220212201 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 221220212201.

It is not a weakly prime, because it can be changed into another prime (221220212251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110610106100 + 110610106101.

It is an arithmetic number, because the mean of its divisors is an integer number (110610106101).

Almost surely, 2221220212201 is an apocalyptic number.

It is an amenable number.

221220212201 is a deficient number, since it is larger than the sum of its proper divisors (1).

221220212201 is an equidigital number, since it uses as much as digits as its factorization.

221220212201 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 17.

Adding to 221220212201 its reverse (102212022122), we get a palindrome (323432234323).

The spelling of 221220212201 in words is "two hundred twenty-one billion, two hundred twenty million, two hundred twelve thousand, two hundred one".