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354205121 is a prime number
BaseRepresentation
bin10101000111001…
…011110111000001
3220200111111002012
4111013023313001
51211134030441
655051502305
711530456664
oct2507136701
9820444065
10354205121
11171a37606
129a757995
13584c923a
14350836db
15211699eb
hex151cbdc1

354205121 has 2 divisors, whose sum is σ = 354205122. Its totient is φ = 354205120.

The previous prime is 354205099. The next prime is 354205123. The reversal of 354205121 is 121502453.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 323280400 + 30924721 = 17980^2 + 5561^2 .

It is an emirp because it is prime and its reverse (121502453) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-354205121 is a prime.

It is a super-3 number, since 3×3542051213 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 354205123, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (354205123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 177102560 + 177102561.

It is an arithmetic number, because the mean of its divisors is an integer number (177102561).

Almost surely, 2354205121 is an apocalyptic number.

It is an amenable number.

354205121 is a deficient number, since it is larger than the sum of its proper divisors (1).

354205121 is an equidigital number, since it uses as much as digits as its factorization.

354205121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 354205121 is about 18820.3379618964. The cubic root of 354205121 is about 707.5410014238.

Adding to 354205121 its reverse (121502453), we get a palindrome (475707574).

The spelling of 354205121 in words is "three hundred fifty-four million, two hundred five thousand, one hundred twenty-one".