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342013000241 = 1122826553721
BaseRepresentation
bin1001111101000011001…
…00000011101000110001
31012200210110210120110002
410332201210003220301
521100420312001431
6421041341315345
733465254351453
oct4764144035061
91180713716402
10342013000241
11122057471200
125634b565b55
1326336c5a873
14127a6bd02d3
158d6ac753cb
hex4fa1903a31

342013000241 has 6 divisors (see below), whose sum is σ = 375931645026. Its totient is φ = 310920909200.

The previous prime is 342013000207. The next prime is 342013000253. The reversal of 342013000241 is 142000310243.

It can be written as a sum of positive squares in only one way, i.e., 323870257216 + 18142743025 = 569096^2 + 134695^2 .

It is a de Polignac number, because none of the positive numbers 2k-342013000241 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (342013000291) 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 in 5 ways as a sum of consecutive naturals, for example, 1413276740 + ... + 1413276981.

It is an arithmetic number, because the mean of its divisors is an integer number (62655274171).

Almost surely, 2342013000241 is an apocalyptic number.

It is an amenable number.

342013000241 is a deficient number, since it is larger than the sum of its proper divisors (33918644785).

342013000241 is a wasteful number, since it uses less digits than its factorization.

342013000241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2826553743 (or 2826553732 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 342013000241 its reverse (142000310243), we get a palindrome (484013310484).

The spelling of 342013000241 in words is "three hundred forty-two billion, thirteen million, two hundred forty-one", and thus it is an aban number.

Divisors: 1 11 121 2826553721 31092090931 342013000241