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132223868345 = 52292773531181
BaseRepresentation
bin111101100100100101…
…0000001110110111001
3110122021220112110111002
41323021022001312321
54131243302241340
6140424240214345
712360426223352
oct1731112016671
9418256473432
10132223868345
1151091a21358
122176160a3b5
13c61284226a
14658499ad29
15368d1e7715
hex1ec9281db9

132223868345 has 32 divisors (see below), whose sum is σ = 160525717920. Its totient is φ = 104551096320.

The previous prime is 132223868333. The next prime is 132223868347. The reversal of 132223868345 is 543868322231.

It can be written as a sum of positive squares in 16 ways, for example, as 4359696784 + 127864171561 = 66028^2 + 357581^2 .

It is not a de Polignac number, because 132223868345 - 218 = 132223606201 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 132223868345.

It is not an unprimeable number, because it can be changed into a prime (132223868347) 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 31 ways as a sum of consecutive naturals, for example, 111958655 + ... + 111959835.

It is an arithmetic number, because the mean of its divisors is an integer number (5016428685).

Almost surely, 2132223868345 is an apocalyptic number.

It is an amenable number.

132223868345 is a deficient number, since it is larger than the sum of its proper divisors (28301849575).

132223868345 is a wasteful number, since it uses less digits than its factorization.

132223868345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2045.

The product of its digits is 1658880, while the sum is 47.

The spelling of 132223868345 in words is "one hundred thirty-two billion, two hundred twenty-three million, eight hundred sixty-eight thousand, three hundred forty-five".

Divisors: 1 5 229 277 353 1145 1181 1385 1765 5905 63433 80837 97781 270449 317165 327137 404185 416893 488905 1352245 1635685 2084465 22391849 74914373 95468497 111959245 115479361 374571865 477342485 577396805 26444773669 132223868345