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241344033131 = 292389737719
BaseRepresentation
bin1110000011000100111…
…0011011000101101011
3212001221200101011211202
43200301032123011223
512423233033030011
6302512200114415
723302505301515
oct3406116330553
9761850334752
10241344033131
1193398462223
123a935765a0b
13199b2985bc6
14b976d92bb5
156427e4823b
hex383139b16b

241344033131 has 12 divisors (see below), whose sum is σ = 250596106800. Its totient is φ = 232422482208.

The previous prime is 241344033083. The next prime is 241344033143. The reversal of 241344033131 is 131330443142.

It is a happy number.

241344033131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 241344033131 - 214 = 241344016747 is a prime.

It is a super-2 number, since 2×2413440331312 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 241344033094 and 241344033103.

It is not an unprimeable number, because it can be changed into a prime (241344033191) 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 in 11 ways as a sum of consecutive naturals, for example, 41711 + ... + 696008.

It is an arithmetic number, because the mean of its divisors is an integer number (20883008900).

Almost surely, 2241344033131 is an apocalyptic number.

241344033131 is a deficient number, since it is larger than the sum of its proper divisors (9252073669).

241344033131 is an equidigital number, since it uses as much as digits as its factorization.

241344033131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738166 (or 738137 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 29.

Adding to 241344033131 its reverse (131330443142), we get a palindrome (372674476273).

The spelling of 241344033131 in words is "two hundred forty-one billion, three hundred forty-four million, thirty-three thousand, one hundred thirty-one".

Divisors: 1 29 389 841 11281 327149 737719 21393851 286972691 620421679 8322208039 241344033131