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105403243013 is a prime number
BaseRepresentation
bin110001000101010000…
…1011101101000000101
3101002001201210112020022
41202022201131220011
53211331212234023
6120231021144525
710420663532405
oct1421241355005
9332051715208
10105403243013
11407794235a2
12185173bb145
139c2a076a63
14515c8cc805
152b1d7957c8
hex188a85da05

105403243013 has 2 divisors, whose sum is σ = 105403243014. Its totient is φ = 105403243012.

The previous prime is 105403242991. The next prime is 105403243021. The reversal of 105403243013 is 310342304501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98697762244 + 6705480769 = 314162^2 + 81887^2 .

It is a cyclic number.

It is not a de Polignac number, because 105403243013 - 218 = 105402980869 is a prime.

It is a super-2 number, since 2×1054032430132 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105403243213) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52701621506 + 52701621507.

It is an arithmetic number, because the mean of its divisors is an integer number (52701621507).

Almost surely, 2105403243013 is an apocalyptic number.

It is an amenable number.

105403243013 is a deficient number, since it is larger than the sum of its proper divisors (1).

105403243013 is an equidigital number, since it uses as much as digits as its factorization.

105403243013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4320, while the sum is 26.

Adding to 105403243013 its reverse (310342304501), we get a palindrome (415745547514).

The spelling of 105403243013 in words is "one hundred five billion, four hundred three million, two hundred forty-three thousand, thirteen".