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132200205405 = 35312831004599
BaseRepresentation
bin111101100011110111…
…1110000110001011101
3110122020021000021000220
41323013233300301131
54131221223033110
6140422033111553
712360021130242
oct1730757606135
9418207007026
10132200205405
115107a62a004
12217556b85b9
13c60a978818
14658179b5c9
15368b0c1370
hex1ec7bf0c5d

132200205405 has 32 divisors (see below), whose sum is σ = 219115315200. Its totient is φ = 67991192640.

The previous prime is 132200205377. The next prime is 132200205409. The reversal of 132200205405 is 504502002231.

It is not a de Polignac number, because 132200205405 - 28 = 132200205149 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132200205409) 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 31 ways as a sum of consecutive naturals, for example, 370705 + ... + 633894.

It is an arithmetic number, because the mean of its divisors is an integer number (6847353600).

Almost surely, 2132200205405 is an apocalyptic number.

132200205405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

132200205405 is a deficient number, since it is larger than the sum of its proper divisors (86915109795).

132200205405 is a wasteful number, since it uses less digits than its factorization.

132200205405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1004921.

The product of its (nonzero) digits is 2400, while the sum is 24.

Adding to 132200205405 its reverse (504502002231), we get a palindrome (636702207636).

The spelling of 132200205405 in words is "one hundred thirty-two billion, two hundred million, two hundred five thousand, four hundred five".

Divisors: 1 3 5 15 31 93 155 283 465 849 1415 4245 8773 26319 43865 131595 1004599 3013797 5022995 15068985 31142569 93427707 155712845 284301517 467138535 852904551 1421507585 4264522755 8813347027 26440041081 44066735135 132200205405