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1311242520225 = 352118936074951
BaseRepresentation
bin10011000101001100001…
…001010000011010100001
311122100112202010122200010
4103011030021100122201
5132440411041121400
62442213153515133
7163506545344311
oct23051411203241
94570482118603
101311242520225
11466105245020
12192164572aa9
139685a345a81
1447670749441
1524195e1c450
hex1314c2506a1

1311242520225 has 96 divisors (see below), whose sum is σ = 2392723998720. Its totient is φ = 628309440000.

The previous prime is 1311242520191. The next prime is 1311242520227. The reversal of 1311242520225 is 5220252421131.

It is not a de Polignac number, because 1311242520225 - 27 = 1311242520097 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1311242520192 and 1311242520201.

It is not an unprimeable number, because it can be changed into a prime (1311242520227) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 264841500 + ... + 264846450.

It is an arithmetic number, because the mean of its divisors is an integer number (24924208320).

Almost surely, 21311242520225 is an apocalyptic number.

1311242520225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1311242520225 is a deficient number, since it is larger than the sum of its proper divisors (1081481478495).

1311242520225 is a wasteful number, since it uses less digits than its factorization.

1311242520225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8671 (or 8666 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 1311242520225 its reverse (5220252421131), we get a palindrome (6531494941356).

The spelling of 1311242520225 in words is "one trillion, three hundred eleven billion, two hundred forty-two million, five hundred twenty thousand, two hundred twenty-five".

Divisors: 1 3 5 11 15 25 33 55 75 89 165 267 275 445 825 979 1335 2225 2937 3607 4895 4951 6675 10821 14685 14853 18035 24475 24755 39677 54105 54461 73425 74265 90175 119031 123775 163383 198385 270525 272305 321023 371325 440639 595155 816915 963069 991925 1321917 1361525 1605115 2203195 2975775 3531253 4084575 4815345 4847029 6609585 8025575 10593759 11015975 14541087 17656265 17858257 24076725 24235145 33047925 52968795 53574771 72705435 88281325 89291285 121175725 196440827 264843975 267873855 363527175 446456425 589322481 982204135 1339369275 1589384873 2946612405 4768154619 4911020675 7946924365 14733062025 17483233603 23840773095 39734621825 52449700809 87416168015 119203865475 262248504045 437080840075 1311242520225