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241345202013 = 32171577419621
BaseRepresentation
bin1110000011000101001…
…0111000011101011101
3212001221202120120020200
43200301102320131131
512423233332431023
6302512241134113
723302521240366
oct3406122703535
9761852516220
10241345202013
1193399090443
123a93602a339
13199b2ca4c56
14b9771b8b6d
1564280c9743
hex38314b875d

241345202013 has 12 divisors (see below), whose sum is σ = 369116191548. Its totient is φ = 151432283520.

The previous prime is 241345201997. The next prime is 241345202041. The reversal of 241345202013 is 310202543142.

241345202013 is a `hidden beast` number, since 2 + 4 + 1 + 3 + 452 + 0 + 201 + 3 = 666.

241345202013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 223159870404 + 18185331609 = 472398^2 + 134853^2 .

It is not a de Polignac number, because 241345202013 - 24 = 241345201997 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241345202213) 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, 788709658 + ... + 788709963.

It is an arithmetic number, because the mean of its divisors is an integer number (30759682629).

Almost surely, 2241345202013 is an apocalyptic number.

It is an amenable number.

241345202013 is a deficient number, since it is larger than the sum of its proper divisors (127770989535).

241345202013 is a wasteful number, since it uses less digits than its factorization.

241345202013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1577419644 (or 1577419641 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 241345202013 its reverse (310202543142), we get a palindrome (551547745155).

The spelling of 241345202013 in words is "two hundred forty-one billion, three hundred forty-five million, two hundred two thousand, thirteen".

Divisors: 1 3 9 17 51 153 1577419621 4732258863 14196776589 26816133557 80448400671 241345202013