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132133234321 = 1123833284897
BaseRepresentation
bin111101100001111000…
…0010010011010010001
3110122001120222202222101
41323003300102122101
54131102101444241
6140411241440401
712355245650254
oct1730360223221
9418046882871
10132133234321
1151045847700
12217371a0101
13c5c9b2a86a
14657692709b
153685292e31
hex1ec3c12691

132133234321 has 12 divisors (see below), whose sum is σ = 145275757956. Its totient is φ = 120089361920.

The previous prime is 132133234297. The next prime is 132133234327. The reversal of 132133234321 is 123432331231.

It can be written as a sum of positive squares in 2 ways, for example, as 69122193921 + 63011040400 = 262911^2 + 251020^2 .

It is not a de Polignac number, because 132133234321 - 233 = 123543299729 is a prime.

It is a super-2 number, since 2×1321332343212 (a number of 23 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 132133234321.

It is not an unprimeable number, because it can be changed into a prime (132133234327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 321345 + ... + 606241.

It is an arithmetic number, because the mean of its divisors is an integer number (12106313163).

Almost surely, 2132133234321 is an apocalyptic number.

132133234321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

132133234321 is a deficient number, since it is larger than the sum of its proper divisors (13142523635).

132133234321 is a wasteful number, since it uses less digits than its factorization.

132133234321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288752 (or 288741 counting only the distinct ones).

The product of its digits is 7776, while the sum is 28.

Adding to 132133234321 its reverse (123432331231), we get a palindrome (255565565552).

The spelling of 132133234321 in words is "one hundred thirty-two billion, one hundred thirty-three million, two hundred thirty-four thousand, three hundred twenty-one".

Divisors: 1 11 121 3833 42163 284897 463793 3133867 34472537 1092010201 12012112211 132133234321