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122105354345 = 5131878543913
BaseRepresentation
bin111000110111000001…
…0111101100001101001
3102200011201202200201022
41301232002331201221
54000032432314340
6132032221302225
711551612246502
oct1615602754151
9380151680638
10122105354345
114786a31aa97
121b7b8a04975
13b68c42b380
145ca4bc7ba9
153299c293b5
hex1c6e0bd869

122105354345 has 8 divisors (see below), whose sum is σ = 157797688776. Its totient is φ = 90170107776.

The previous prime is 122105354321. The next prime is 122105354347. The reversal of 122105354345 is 543453501221.

It can be written as a sum of positive squares in 4 ways, for example, as 787588096 + 121317766249 = 28064^2 + 348307^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 122105354345 - 224 = 122088577129 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122105354347) 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 in 7 ways as a sum of consecutive naturals, for example, 939271892 + ... + 939272021.

It is an arithmetic number, because the mean of its divisors is an integer number (19724711097).

Almost surely, 2122105354345 is an apocalyptic number.

It is an amenable number.

122105354345 is a deficient number, since it is larger than the sum of its proper divisors (35692334431).

122105354345 is a wasteful number, since it uses less digits than its factorization.

122105354345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1878543931.

The product of its (nonzero) digits is 72000, while the sum is 35.

Adding to 122105354345 its reverse (543453501221), we get a palindrome (665558855566).

The spelling of 122105354345 in words is "one hundred twenty-two billion, one hundred five million, three hundred fifty-four thousand, three hundred forty-five".

Divisors: 1 5 13 65 1878543913 9392719565 24421070869 122105354345