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113123141093 is a prime number
BaseRepresentation
bin110100101011010101…
…0100010010111100101
3101210222202010222112102
41221112222202113211
53323134011003333
6123545033301445
711113203556034
oct1512652422745
9353882128472
10113123141093
1143a80078256
1219b10864885
13a88a567ca1
145691cc271b
152e213b2ae8
hex1a56aa25e5

113123141093 has 2 divisors, whose sum is σ = 113123141094. Its totient is φ = 113123141092.

The previous prime is 113123141083. The next prime is 113123141129. The reversal of 113123141093 is 390141321311.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99513118849 + 13610022244 = 315457^2 + 116662^2 .

It is a cyclic number.

It is not a de Polignac number, because 113123141093 - 26 = 113123141029 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (113123141023) 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, 56561570546 + 56561570547.

It is an arithmetic number, because the mean of its divisors is an integer number (56561570547).

Almost surely, 2113123141093 is an apocalyptic number.

It is an amenable number.

113123141093 is a deficient number, since it is larger than the sum of its proper divisors (1).

113123141093 is an equidigital number, since it uses as much as digits as its factorization.

113123141093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 29.

The spelling of 113123141093 in words is "one hundred thirteen billion, one hundred twenty-three million, one hundred forty-one thousand, ninety-three".