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254132103012241 = 612467314615177
BaseRepresentation
bin111001110010000110111101…
…101110011101111110010001
31020022210210101012121100201111
4321302012331232131332101
5231302200021332342431
62300254402034533321
7104346303264110326
oct7162067556357621
91208723335540644
10254132103012241
1173a79901a38383
1224604607137241
13aba572928603c
1446a80b9068b4d
151e5a85c47c7b1
hexe721bdb9df91

254132103012241 has 12 divisors (see below), whose sum is σ = 258421806680076. Its totient is φ = 249912494315520.

The previous prime is 254132103012217. The next prime is 254132103012247. The reversal of 254132103012241 is 142210301231452.

It can be written as a sum of positive squares in 6 ways, for example, as 11112188915025 + 243019914097216 = 3333495^2 + 15589096^2 .

It is not a de Polignac number, because 254132103012241 - 225 = 254132069457809 is a prime.

It is a super-2 number, since 2×2541321030122412 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (254132103012247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10080645 + ... + 24695821.

It is an arithmetic number, because the mean of its divisors is an integer number (21535150556673).

Almost surely, 2254132103012241 is an apocalyptic number.

It is an amenable number.

254132103012241 is a deficient number, since it is larger than the sum of its proper divisors (4289703667835).

254132103012241 is an equidigital number, since it uses as much as digits as its factorization.

254132103012241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14619972 (or 14619911 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

Adding to 254132103012241 its reverse (142210301231452), we get a palindrome (396342404243693).

The spelling of 254132103012241 in words is "two hundred fifty-four trillion, one hundred thirty-two billion, one hundred three million, twelve thousand, two hundred forty-one".

Divisors: 1 61 3721 4673 285053 14615177 17388233 891525797 54383073617 68296722121 4166100049381 254132103012241