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113205107149 is a prime number
BaseRepresentation
bin110100101101110001…
…1001101100111001101
3101211012110101021211021
41221123203031213031
53323321001412044
6124001122154141
711115220351111
oct1513343154715
9354173337737
10113205107149
11440123715a2
1219b341b2951
13a8a1536204
14569cb3b741
152e286a3e84
hex1a5b8cd9cd

113205107149 has 2 divisors, whose sum is σ = 113205107150. Its totient is φ = 113205107148.

The previous prime is 113205107137. The next prime is 113205107153. The reversal of 113205107149 is 941701502311.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 72984804649 + 40220302500 = 270157^2 + 200550^2 .

It is a cyclic number.

It is not a de Polignac number, because 113205107149 - 217 = 113204976077 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (113205167149) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56602553574 + 56602553575.

It is an arithmetic number, because the mean of its divisors is an integer number (56602553575).

Almost surely, 2113205107149 is an apocalyptic number.

It is an amenable number.

113205107149 is a deficient number, since it is larger than the sum of its proper divisors (1).

113205107149 is an equidigital number, since it uses as much as digits as its factorization.

113205107149 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7560, while the sum is 34.

The spelling of 113205107149 in words is "one hundred thirteen billion, two hundred five million, one hundred seven thousand, one hundred forty-nine".