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122134860289 = 132898120129
BaseRepresentation
bin111000110111111001…
…1100001001000000001
3102200020210021202021001
41301233303201020001
54000113011012124
6132035153532001
711552421116611
oct1615763411001
9380223252231
10122134860289
1147884a43272
121b806874001
13b69558c500
145ca8aa8a41
15329c606b44
hex1c6fce1201

122134860289 has 12 divisors (see below), whose sum is σ = 133738541100. Its totient is φ = 111473117184.

The previous prime is 122134860259. The next prime is 122134860377. The reversal of 122134860289 is 982068431221.

It can be written as a sum of positive squares in 6 ways, for example, as 4686087025 + 117448773264 = 68455^2 + 342708^2 .

It is not a de Polignac number, because 122134860289 - 27 = 122134860161 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122134860259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4045024 + ... + 4075105.

It is an arithmetic number, because the mean of its divisors is an integer number (11144878425).

Almost surely, 2122134860289 is an apocalyptic number.

It is an amenable number.

122134860289 is a deficient number, since it is larger than the sum of its proper divisors (11603680811).

122134860289 is an equidigital number, since it uses as much as digits as its factorization.

122134860289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8120244 (or 8120231 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 46.

The spelling of 122134860289 in words is "one hundred twenty-two billion, one hundred thirty-four million, eight hundred sixty thousand, two hundred eighty-nine".

Divisors: 1 13 89 169 1157 15041 8120129 105561677 722691481 1372301801 9394989253 122134860289