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123430114405 = 51317731530157
BaseRepresentation
bin111001011110100000…
…0100001010001100101
3102210121001112110212201
41302331000201101211
54010241102130110
6132411503414501
711626466442643
oct1627500412145
9383531473781
10123430114405
114838a099914
121bb085b4431
13b840a25270
145d8cb12193
1533261aab3a
hex1cbd021465

123430114405 has 32 divisors (see below), whose sum is σ = 171206318304. Its totient is φ = 84611506176.

The previous prime is 123430114403. The next prime is 123430114427. The reversal of 123430114405 is 504411034321.

It can be written as a sum of positive squares in 16 ways, for example, as 48477911329 + 74952203076 = 220177^2 + 273774^2 .

It is a cyclic number.

It is not a de Polignac number, because 123430114405 - 21 = 123430114403 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123430114403) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 684414 + ... + 845743.

It is an arithmetic number, because the mean of its divisors is an integer number (5350197447).

Almost surely, 2123430114405 is an apocalyptic number.

It is an amenable number.

123430114405 is a deficient number, since it is larger than the sum of its proper divisors (47776203899).

123430114405 is a wasteful number, since it uses less digits than its factorization.

123430114405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1530265.

The product of its (nonzero) digits is 5760, while the sum is 28.

Adding to 123430114405 its reverse (504411034321), we get a palindrome (627841148726).

The spelling of 123430114405 in words is "one hundred twenty-three billion, four hundred thirty million, one hundred fourteen thousand, four hundred five".

Divisors: 1 5 13 17 65 73 85 221 365 949 1105 1241 4745 6205 16133 80665 1530157 7650785 19892041 26012669 99460205 111701461 130063345 338164697 558507305 1452118993 1690823485 1898924837 7260594965 9494624185 24686022881 123430114405