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1332312330321 = 3378384930983
BaseRepresentation
bin10011011000110100000…
…000001101000001010001
311201100221010200220111000
4103120310000031001101
5133312033424032241
62500020021012213
7165153640645140
oct23306400150121
94640833626430
101332312330321
11474037639215
12196264854069
1398837560b1b
14486acb51757
15249caa58eb6
hex1363400d051

1332312330321 has 32 divisors (see below), whose sum is σ = 2282944849920. Its totient is φ = 752148776592.

The previous prime is 1332312330281. The next prime is 1332312330337. The reversal of 1332312330321 is 1230332132331.

1332312330321 is a `hidden beast` number, since 1 + 3 + 3 + 2 + 3 + 1 + 2 + 330 + 321 = 666.

It is not a de Polignac number, because 1332312330321 - 210 = 1332312329297 is a prime.

It is a super-2 number, since 2×13323123303212 (a number of 25 digits) contains 22 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 (1332312330361) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42449805 + ... + 42481178.

It is an arithmetic number, because the mean of its divisors is an integer number (71342026560).

Almost surely, 21332312330321 is an apocalyptic number.

It is an amenable number.

1332312330321 is a deficient number, since it is larger than the sum of its proper divisors (950632519599).

1332312330321 is an equidigital number, since it uses as much as digits as its factorization.

1332312330321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84931082 (or 84931076 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 1332312330321 its reverse (1230332132331), we get a palindrome (2562644462652).

The spelling of 1332312330321 in words is "one trillion, three hundred thirty-two billion, three hundred twelve million, three hundred thirty thousand, three hundred twenty-one".

Divisors: 1 3 7 9 21 27 63 83 189 249 581 747 1743 2241 5229 15687 84930983 254792949 594516881 764378847 1783550643 2293136541 5350651929 7049271589 16051955787 21147814767 49344901123 63443444301 148034703369 190330332903 444104110107 1332312330321