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221132133949 is a prime number
BaseRepresentation
bin1100110111110010000…
…0001001011000111101
3210010210002010022120011
43031330200021120331
512110334311241244
6245330421023221
721655601060656
oct3157440113075
9703702108504
10221132133949
1185866363211
1236a34854b11
1317b11418b4c
14a9ba8ac52d
155b437c2434
hex337c80963d

221132133949 has 2 divisors, whose sum is σ = 221132133950. Its totient is φ = 221132133948.

The previous prime is 221132133947. The next prime is 221132134009. The reversal of 221132133949 is 949331231122.

221132133949 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 208043629924 + 13088504025 = 456118^2 + 114405^2 .

It is a cyclic number.

It is not a de Polignac number, because 221132133949 - 21 = 221132133947 is a prime.

Together with 221132133947, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (221132133947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110566066974 + 110566066975.

It is an arithmetic number, because the mean of its divisors is an integer number (110566066975).

Almost surely, 2221132133949 is an apocalyptic number.

It is an amenable number.

221132133949 is a deficient number, since it is larger than the sum of its proper divisors (1).

221132133949 is an equidigital number, since it uses as much as digits as its factorization.

221132133949 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 69984, while the sum is 40.

The spelling of 221132133949 in words is "two hundred twenty-one billion, one hundred thirty-two million, one hundred thirty-three thousand, nine hundred forty-nine".