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132244523505133 = 13179292293280909
BaseRepresentation
bin11110000100011010010011…
…110110001101010111101101
3122100020110020012222020012221
4132010122103312031113231
5114313143241004131013
61145132143450155341
736566231400543124
oct3604322366152755
9570213205866187
10132244523505133
1139156650a02646
12129b9a5b422b51
1358a37b3404420
142492951da4abb
151044eb46b508d
hex784693d8d5ed

132244523505133 has 32 divisors (see below), whose sum is σ = 151023351074400. Its totient is φ = 114717038247936.

The previous prime is 132244523505077. The next prime is 132244523505169. The reversal of 132244523505133 is 331505325442231.

It can be written as a sum of positive squares in 16 ways, for example, as 28699998988644 + 103544524516489 = 5357238^2 + 10175683^2 .

It is not a de Polignac number, because 132244523505133 - 245 = 97060151416301 is a prime.

It is a super-2 number, since 2×1322445235051332 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 132244523505133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132244523505233) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 470633083 + ... + 470913991.

It is an arithmetic number, because the mean of its divisors is an integer number (4719479721075).

Almost surely, 2132244523505133 is an apocalyptic number.

132244523505133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

132244523505133 is a deficient number, since it is larger than the sum of its proper divisors (18778827569267).

132244523505133 is a wasteful number, since it uses less digits than its factorization.

132244523505133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284161.

The product of its (nonzero) digits is 1296000, while the sum is 43.

Adding to 132244523505133 its reverse (331505325442231), we get a palindrome (463749848947364).

The spelling of 132244523505133 in words is "one hundred thirty-two trillion, two hundred forty-four billion, five hundred twenty-three million, five hundred five thousand, one hundred thirty-three".

Divisors: 1 13 17 221 929 2293 12077 15793 29809 38981 205309 280909 506753 2130197 3651817 4775453 27692561 36213349 62080889 260964461 470773537 644124337 3392537993 4436395837 8373616381 10950113729 57673145881 142351478477 598391509073 7779089617949 10172655654241 132244523505133