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122313120032 = 2510513363577
BaseRepresentation
bin111000111101001101…
…1100001100100100000
3102200201012201021122202
41301322123201210200
54000444124320112
6132105002352332
711560014236405
oct1617233414440
9380635637582
10122313120032
1147966627474
121b8564bb6a8
13b6c34a424c
145cc462c2ac
1532ad0b96c2
hex1c7a6e1920

122313120032 has 24 divisors (see below), whose sum is σ = 240827522796. Its totient is φ = 61150574592.

The previous prime is 122313120031. The next prime is 122313120053. The reversal of 122313120032 is 230021313221.

It can be written as a sum of positive squares in 2 ways, for example, as 86226798736 + 36086321296 = 293644^2 + 189964^2 .

It is a junction number, because it is equal to n+sod(n) for n = 122313119986 and 122313120013.

It is not an unprimeable number, because it can be changed into a prime (122313120031) 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 3 ways as a sum of consecutive naturals, for example, 154628 + ... + 518204.

Almost surely, 2122313120032 is an apocalyptic number.

It is an amenable number.

122313120032 is a deficient number, since it is larger than the sum of its proper divisors (118514402764).

122313120032 is a wasteful number, since it uses less digits than its factorization.

122313120032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374100 (or 374092 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 122313120032 its reverse (230021313221), we get a palindrome (352334433253).

The spelling of 122313120032 in words is "one hundred twenty-two billion, three hundred thirteen million, one hundred twenty thousand, thirty-two".

Divisors: 1 2 4 8 16 32 10513 21026 42052 84104 168208 336416 363577 727154 1454308 2908616 5817232 11634464 3822285001 7644570002 15289140004 30578280008 61156560016 122313120032