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132105532020513 = 359225574947263
BaseRepresentation
bin11110000010011000110111…
…010011110001011100100001
3122022202011110122222020111020
4132002120313103301130201
5114303404112144124023
61144544235452240053
736553211143451652
oct3602306723613441
9568664418866436
10132105532020513
1139102706928a97
1212996b2b470029
1358936627714bc
142489d2869d529
15104157c2a7de3
hex7826374f1721

132105532020513 has 24 divisors (see below), whose sum is σ = 179246854983168. Its totient is φ = 86543760243168.

The previous prime is 132105532020467. The next prime is 132105532020551. The reversal of 132105532020513 is 315020235501231.

It is not a de Polignac number, because 132105532020513 - 29 = 132105532020001 is a prime.

It is not an unprimeable number, because it can be changed into a prime (132105532020593) 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 23 ways as a sum of consecutive naturals, for example, 24229120 + ... + 29176382.

It is an arithmetic number, because the mean of its divisors is an integer number (7468618957632).

Almost surely, 2132105532020513 is an apocalyptic number.

It is an amenable number.

132105532020513 is a deficient number, since it is larger than the sum of its proper divisors (47141322962655).

132105532020513 is an equidigital number, since it uses as much as digits as its factorization.

132105532020513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4949941 (or 4949882 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 33.

Adding to 132105532020513 its reverse (315020235501231), we get a palindrome (447125767521744).

The spelling of 132105532020513 in words is "one hundred thirty-two trillion, one hundred five billion, five hundred thirty-two million, twenty thousand, five hundred thirteen".

Divisors: 1 3 59 177 2557 3481 7671 10443 150863 452589 4947263 8900917 14841789 26702751 291888517 875665551 12650151491 17221422503 37950454473 51664267509 746358937969 2239076813907 44035177340171 132105532020513