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221434121101 is a prime number
BaseRepresentation
bin1100111000111010000…
…0001000101110001101
3210011120010100212001111
43032032200020232031
512111444113333401
6245420405412021
721666225654664
oct3161640105615
9704503325044
10221434121101
1185a00874676
1236ab9a0a011
1317b5bb6127b
14aa08a3bddb
155b60074e51
hex338e808b8d

221434121101 has 2 divisors, whose sum is σ = 221434121102. Its totient is φ = 221434121100.

The previous prime is 221434121081. The next prime is 221434121171. The reversal of 221434121101 is 101121434122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 138346058601 + 83088062500 = 371949^2 + 288250^2 .

It is a cyclic number.

It is not a de Polignac number, because 221434121101 - 225 = 221400566669 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (221434121171) 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, 110717060550 + 110717060551.

It is an arithmetic number, because the mean of its divisors is an integer number (110717060551).

Almost surely, 2221434121101 is an apocalyptic number.

It is an amenable number.

221434121101 is a deficient number, since it is larger than the sum of its proper divisors (1).

221434121101 is an equidigital number, since it uses as much as digits as its factorization.

221434121101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 221434121101 its reverse (101121434122), we get a palindrome (322555555223).

The spelling of 221434121101 in words is "two hundred twenty-one billion, four hundred thirty-four million, one hundred twenty-one thousand, one hundred one".