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132521444207 = 171931591012221
BaseRepresentation
bin111101101101011100…
…1001100001101101111
3110200001122110212211022
41323122321030031233
54132400442203312
6140513550244355
712401001455435
oct1733271141557
9420048425738
10132521444207
115122499a519
12218251b66bb
13c65c3a1859
1465b22dcd55
1536a93c8172
hex1edae4c36f

132521444207 has 64 divisors (see below), whose sum is σ = 156656332800. Its totient is φ = 111248640000.

The previous prime is 132521444191. The next prime is 132521444219. The reversal of 132521444207 is 702444125231.

It is a cyclic number.

It is not a de Polignac number, because 132521444207 - 24 = 132521444191 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132521444267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 59666357 + ... + 59668577.

It is an arithmetic number, because the mean of its divisors is an integer number (2447755200).

Almost surely, 2132521444207 is an apocalyptic number.

132521444207 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

132521444207 is a deficient number, since it is larger than the sum of its proper divisors (24134888593).

132521444207 is a wasteful number, since it uses less digits than its factorization.

132521444207 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2448.

The product of its (nonzero) digits is 53760, while the sum is 35.

Adding to 132521444207 its reverse (702444125231), we get a palindrome (834965569438).

The spelling of 132521444207 in words is "one hundred thirty-two billion, five hundred twenty-one million, four hundred forty-four thousand, two hundred seven".

Divisors: 1 17 19 31 59 101 323 527 589 1003 1121 1717 1829 1919 2221 3131 5959 10013 19057 31093 32623 34751 37757 42199 53227 59489 68851 101303 113221 131039 184729 224321 590767 717383 1011313 1170467 1308169 1924757 2227663 2489741 3140393 3509851 3813457 4062209 4262099 6953951 13234939 22238873 42325597 59667467 69057553 72455683 77181971 118217167 132125069 224993963 251463841 410283109 1312093507 2246126173 4274885297 6974812853 7795379071 132521444207