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1320031113120 = 253251483618131
BaseRepresentation
bin10011001101010111111…
…111000100111110100000
311200012020020102102122200
4103031113333010332200
5133111410431104440
62450225223533200
7164240413221156
oct23152777047640
94605206372580
101320031113120
11469905171a35
121939b78ba200
139762b0768b5
1447c65a4d3d6
152450c789c30
hex13357fc4fa0

1320031113120 has 144 divisors (see below), whose sum is σ = 4507650961632. Its totient is φ = 351770365440.

The previous prime is 1320031113113. The next prime is 1320031113131. The reversal of 1320031113120 is 213111300231.

1320031113120 is a `hidden beast` number, since 1 + 3 + 200 + 311 + 131 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×13200311131202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1320031113093 and 1320031113102.

It is an unprimeable number.

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, 1826455 + ... + 2444585.

It is an arithmetic number, because the mean of its divisors is an integer number (31303131678).

Almost surely, 21320031113120 is an apocalyptic number.

1320031113120 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 1320031113120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2253825480816).

1320031113120 is an abundant number, since it is smaller than the sum of its proper divisors (3187619848512).

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

1320031113120 is a wasteful number, since it uses less digits than its factorization.

1320031113120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619635 (or 619624 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1320031113120 its reverse (213111300231), we get a palindrome (1533142413351).

The spelling of 1320031113120 in words is "one trillion, three hundred twenty billion, thirty-one million, one hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 1483 2966 4449 5932 7415 8898 11864 13347 14830 17796 22245 23728 26694 29660 35592 44490 47456 53388 59320 66735 71184 88980 106776 118640 133470 142368 177960 213552 237280 266940 355920 427104 533880 618131 711840 1067760 1236262 1854393 2135520 2472524 3090655 3708786 4945048 5563179 6181310 7417572 9271965 9890096 11126358 12362620 14835144 18543930 19780192 22252716 24725240 27815895 29670288 37087860 44505432 49450480 55631790 59340576 74175720 89010864 98900960 111263580 148351440 178021728 222527160 296702880 445054320 890108640 916688273 1833376546 2750064819 3666753092 4583441365 5500129638 7333506184 8250194457 9166882730 11000259276 13750324095 14667012368 16500388914 18333765460 22000518552 27500648190 29334024736 33000777828 36667530920 41250972285 44001037104 55001296380 66001555656 73335061840 82501944570 88002074208 110002592760 132003111312 146670123680 165003889140 220005185520 264006222624 330007778280 440010371040 660015556560 1320031113120