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34054550221 is a prime number
BaseRepresentation
bin11111101101110011…
…110011001011001101
310020220022122101122211
4133231303303023031
51024220431101341
623351111110421
72313621620656
oct375563631315
9106808571584
1034054550221
11134959a668a
126724972411
1332993a6043
141910b1c52d
15d44a77181
hex7edcf32cd

34054550221 has 2 divisors, whose sum is σ = 34054550222. Its totient is φ = 34054550220.

The previous prime is 34054550219. The next prime is 34054550227. The reversal of 34054550221 is 12205545043.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 33633726025 + 420824196 = 183395^2 + 20514^2 .

It is an emirp because it is prime and its reverse (12205545043) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 34054550221 - 21 = 34054550219 is a prime.

It is a super-2 number, since 2×340545502212 (a number of 22 digits) contains 22 as substring.

Together with 34054550219, 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 (34054550227) 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 as a sum of consecutive naturals, namely, 17027275110 + 17027275111.

It is an arithmetic number, because the mean of its divisors is an integer number (17027275111).

Almost surely, 234054550221 is an apocalyptic number.

It is an amenable number.

34054550221 is a deficient number, since it is larger than the sum of its proper divisors (1).

34054550221 is an equidigital number, since it uses as much as digits as its factorization.

34054550221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24000, while the sum is 31.

The spelling of 34054550221 in words is "thirty-four billion, fifty-four million, five hundred fifty thousand, two hundred twenty-one".