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132303323322 = 234472369709
BaseRepresentation
bin111101100110111100…
…1001000000010111010
3110122111110001012020000
41323031321020002322
54131424122321242
6140440155213430
712362412456462
oct1731571100272
9418443035200
10132303323322
1151122860025
1221784147276
13c626141541
146591360ba2
15369518ea4c
hex1ecde480ba

132303323322 has 60 divisors (see below), whose sum is σ = 302900075610. Its totient is φ = 43162669584.

The previous prime is 132303323291. The next prime is 132303323329. The reversal of 132303323322 is 223323303231.

132303323322 is a `hidden beast` number, since 1 + 3 + 2 + 3 + 0 + 332 + 3 + 322 = 666.

It can be written as a sum of positive squares in only one way, i.e., 97188686001 + 35114637321 = 311751^2 + 187389^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (132303323329) 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 29 ways as a sum of consecutive naturals, for example, 173004 + ... + 542712.

Almost surely, 2132303323322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132303323322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151450037805).

132303323322 is an abundant number, since it is smaller than the sum of its proper divisors (170596752288).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

132303323322 is an equidigital number, since it uses as much as digits as its factorization.

132303323322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369817 (or 369761 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 27.

Adding to 132303323322 its reverse (223323303231), we get a palindrome (355626626553).

It can be divided in two parts, 132303 and 323322, that added together give a square (455625 = 6752).

The spelling of 132303323322 in words is "one hundred thirty-two billion, three hundred three million, three hundred twenty-three thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 47 54 81 94 141 162 282 423 846 1269 2209 2538 3807 4418 6627 7614 13254 19881 39762 59643 119286 178929 357858 369709 739418 1109127 2218254 3327381 6654762 9982143 17376323 19964286 29946429 34752646 52128969 59892858 104257938 156386907 312773814 469160721 816687181 938321442 1407482163 1633374362 2450061543 2814964326 4900123086 7350184629 14700369258 22050553887 44101107774 66151661661 132303323322