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1345321220341 = 721713011241377
BaseRepresentation
bin10011100100111011011…
…001001011100011110101
311202121111202012222202111
4103210323121023203311
5134020204213022331
62510010530411021
7166124212460200
oct23447331134365
94677452188674
101345321220341
1147960283589a
12198895430a71
1399b2b726097
1449184752937
1524edcb64db1
hex1393b64b8f5

1345321220341 has 24 divisors (see below), whose sum is σ = 1658297284056. Its totient is φ = 1084466073600.

The previous prime is 1345321220317. The next prime is 1345321220377. The reversal of 1345321220341 is 1430221235431.

It can be written as a sum of positive squares in 4 ways, for example, as 291918687025 + 1053402533316 = 540295^2 + 1026354^2 .

It is not a de Polignac number, because 1345321220341 - 231 = 1343173736693 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1345321224341) 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 23 ways as a sum of consecutive naturals, for example, 463045 + ... + 1704421.

It is an arithmetic number, because the mean of its divisors is an integer number (69095720169).

Almost surely, 21345321220341 is an apocalyptic number.

It is an amenable number.

1345321220341 is a deficient number, since it is larger than the sum of its proper divisors (312976063715).

1345321220341 is a wasteful number, since it uses less digits than its factorization.

1345321220341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1242709 (or 1242702 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

Adding to 1345321220341 its reverse (1430221235431), we get a palindrome (2775542455772).

The spelling of 1345321220341 in words is "one trillion, three hundred forty-five billion, three hundred twenty-one million, two hundred twenty thousand, three hundred forty-one".

Divisors: 1 7 17 49 119 833 1301 9107 22117 63749 154819 1083733 1241377 8689639 21103409 60827473 147723863 1034067041 1615031477 11305220339 27455535109 79136542373 192188745763 1345321220341