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113003044013 is a prime number
BaseRepresentation
bin110100100111110000…
…0011001110010101101
3101210200101011102022102
41221033200121302231
53322412234402023
6123525103224445
711110215011546
oct1511740316255
9353611142272
10113003044013
1143a192aa572
1219a985a8125
13a86b708b22
14567dd7d4cd
152e15a8d628
hex1a4f819cad

113003044013 has 2 divisors, whose sum is σ = 113003044014. Its totient is φ = 113003044012.

The previous prime is 113003044001. The next prime is 113003044057. The reversal of 113003044013 is 310440300311.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 65442849124 + 47560194889 = 255818^2 + 218083^2 .

It is a cyclic number.

It is not a de Polignac number, because 113003044013 - 212 = 113003039917 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (113003044073) 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 as a sum of consecutive naturals, namely, 56501522006 + 56501522007.

It is an arithmetic number, because the mean of its divisors is an integer number (56501522007).

Almost surely, 2113003044013 is an apocalyptic number.

It is an amenable number.

113003044013 is a deficient number, since it is larger than the sum of its proper divisors (1).

113003044013 is an equidigital number, since it uses as much as digits as its factorization.

113003044013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 113003044013 its reverse (310440300311), we get a palindrome (423443344324).

The spelling of 113003044013 in words is "one hundred thirteen billion, three million, forty-four thousand, thirteen".