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132301303321 = 11222934913681
BaseRepresentation
bin111101100110111000…
…1011010111000011001
3110122111022020120022011
41323031301122320121
54131423113201241
6140440044025521
712362356344325
oct1731561327031
9418438216264
10132301303321
1151121700400
12217835322a1
13c6258b4c85
146590d96985
153694de1281
hex1ecdc5ae19

132301303321 has 24 divisors (see below), whose sum is σ = 146486333000. Its totient is φ = 119396851200.

The previous prime is 132301303279. The next prime is 132301303391. The reversal of 132301303321 is 123303103231.

It can be written as a sum of positive squares in 4 ways, for example, as 98247768025 + 34053535296 = 313445^2 + 184536^2 .

It is not a de Polignac number, because 132301303321 - 219 = 132300779033 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 132301303292 and 132301303301.

It is not an unprimeable number, because it can be changed into a prime (132301303391) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9663601 + ... + 9677281.

Almost surely, 2132301303321 is an apocalyptic number.

132301303321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

132301303321 is a deficient number, since it is larger than the sum of its proper divisors (14185029679).

132301303321 is a wasteful number, since it uses less digits than its factorization.

132301303321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14281 (or 14270 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 132301303321 its reverse (123303103231), we get a palindrome (255604406552).

The spelling of 132301303321 in words is "one hundred thirty-two billion, three hundred one million, three hundred three thousand, three hundred twenty-one".

Divisors: 1 11 121 229 349 2519 3839 13681 27709 42229 79921 150491 879131 1655401 3132949 4774669 9670441 34462439 52521359 379086829 577734949 1093399201 12027391211 132301303321