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1340120303120 = 245109199772279
BaseRepresentation
bin10011100000000101011…
…001010000011000010000
311202010002021210000120202
4103200011121100120100
5133424031244144440
62503350500554332
7165551300425214
oct23400531203020
94663067700522
101340120303120
11477383a797a5
121978836b29a8
13994b007b881
1448c0db10944
1524cd6272615
hex13805650610

1340120303120 has 80 divisors (see below), whose sum is σ = 3160169760000. Its totient is φ = 528460568064.

The previous prime is 1340120303077. The next prime is 1340120303129. The reversal of 1340120303120 is 213030210431.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1340120303092 and 1340120303101.

It is not an unprimeable number, because it can be changed into a prime (1340120303129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1349141 + ... + 2121419.

It is an arithmetic number, because the mean of its divisors is an integer number (39502122000).

Almost surely, 21340120303120 is an apocalyptic number.

1340120303120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1340120303120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1580084880000).

1340120303120 is an abundant number, since it is smaller than the sum of its proper divisors (1820049456880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1340120303120 is a wasteful number, since it uses less digits than its factorization.

1340120303120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772600 (or 772594 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 1340120303120 its reverse (213030210431), we get a palindrome (1553150513551).

The spelling of 1340120303120 in words is "one trillion, three hundred forty billion, one hundred twenty million, three hundred three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 109 199 218 398 436 545 796 872 995 1090 1592 1744 1990 2180 3184 3980 4360 7960 8720 15920 21691 43382 86764 108455 173528 216910 347056 433820 772279 867640 1544558 1735280 3089116 3861395 6178232 7722790 12356464 15445580 30891160 61782320 84178411 153683521 168356822 307367042 336713644 420892055 614734084 673427288 768417605 841784110 1229468168 1346854576 1536835210 1683568220 2458936336 3073670420 3367136440 6147340840 6734272880 12294681680 16751503789 33503007578 67006015156 83757518945 134012030312 167515037890 268024060624 335030075780 670060151560 1340120303120