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1311345022425 = 3521923233171719
BaseRepresentation
bin10011000101010010010…
…000010001010111011001
311122100210220000022020220
4103011102100101113121
5132441113311204200
62442231254510253
7163512231530454
oct23052220212731
94570726008226
101311345022425
11466158095489
12192192965389
1396875654469
14476801cc49b
152419ee184a0
hex131524115d9

1311345022425 has 96 divisors (see below), whose sum is σ = 2391661209600. Its totient is φ = 631043043840.

The previous prime is 1311345022331. The next prime is 1311345022459. The reversal of 1311345022425 is 5242205431131.

It is not a de Polignac number, because 1311345022425 - 27 = 1311345022297 is a prime.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 7550716 + ... + 7722434.

It is an arithmetic number, because the mean of its divisors is an integer number (24913137600).

Almost surely, 21311345022425 is an apocalyptic number.

1311345022425 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1311345022425 is a deficient number, since it is larger than the sum of its proper divisors (1080316187175).

1311345022425 is a wasteful number, since it uses less digits than its factorization.

1311345022425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172007 (or 172002 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The spelling of 1311345022425 in words is "one trillion, three hundred eleven billion, three hundred forty-five million, twenty-two thousand, four hundred twenty-five".

Divisors: 1 3 5 15 19 23 25 57 69 75 95 115 233 285 345 437 475 575 699 1165 1311 1425 1725 2185 3495 4427 5359 5825 6555 10925 13281 16077 17475 22135 26795 32775 66405 80385 101821 110675 133975 171719 305463 332025 401925 509105 515157 858595 1527315 2545525 2575785 3262661 3949537 4292975 7636575 9787983 11848611 12878925 16313305 19747685 40010527 48939915 59243055 75041203 81566525 98738425 120031581 200052635 225123609 244699575 296215275 375206015 600157905 760200013 920242121 1000263175 1125618045 1876030075 2280600039 2760726363 3000789525 3801000065 4601210605 5628090225 11403000195 13803631815 17484600299 19005000325 23006053025 52453800897 57015000975 69018159075 87423001495 262269004485 437115007475 1311345022425