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132304431321 = 3413197112841
BaseRepresentation
bin111101100110111110…
…1010110100011011001
3110122111112010111010000
41323031331112203121
54131424413300241
6140440235043213
712362425053006
oct1731575264331
9418445114100
10132304431321
1151123447527
12217845a0509
13c62643b96a
14659156c8ad
15369530ceb6
hex1ecdf568d9

132304431321 has 40 divisors (see below), whose sum is σ = 199369276128. Its totient is φ = 87432696000.

The previous prime is 132304431289. The next prime is 132304431349. The reversal of 132304431321 is 123134403231.

It is a happy number.

132304431321 is a `hidden beast` number, since 1 + 3 + 2 + 304 + 4 + 31 + 321 = 666.

It is not a de Polignac number, because 132304431321 - 25 = 132304431289 is a prime.

It is a super-3 number, since 3×1323044313213 (a number of 34 digits) contains 333 as substring.

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 (132304231321) 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 39 ways as a sum of consecutive naturals, for example, 10296861 + ... + 10309701.

Almost surely, 2132304431321 is an apocalyptic number.

It is an amenable number.

132304431321 is a deficient number, since it is larger than the sum of its proper divisors (67064844807).

132304431321 is a wasteful number, since it uses less digits than its factorization.

132304431321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13955 (or 13946 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 132304431321 its reverse (123134403231), we get a palindrome (255438834552).

The spelling of 132304431321 in words is "one hundred thirty-two billion, three hundred four million, four hundred thirty-one thousand, three hundred twenty-one".

Divisors: 1 3 9 27 81 131 393 971 1179 2913 3537 8739 10611 12841 26217 38523 78651 115569 127201 346707 381603 1040121 1144809 1682171 3434427 5046513 10303281 12468611 15139539 37405833 45418617 112217499 136255851 336652497 1009957491 1633388041 4900164123 14700492369 44101477107 132304431321