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1101303012320 = 25572743189061
BaseRepresentation
bin10000000001101010110…
…001100101101111100000
310220021122200220122121022
4100001222301211233200
5121020432032343240
62201533121345012
7142365213102200
oct20015261455740
93807580818538
101101303012320
11395072926485
12159534198168
137cb10a29394
143b436570400
151d9aa0889b5
hex1006ac65be0

1101303012320 has 144 divisors (see below), whose sum is σ = 3030706209888. Its totient is φ = 377079413760.

The previous prime is 1101303012301. The next prime is 1101303012361. The reversal of 1101303012320 is 232103031011.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 5730590 + ... + 5919650.

It is an arithmetic number, because the mean of its divisors is an integer number (21046570902).

Almost surely, 21101303012320 is an apocalyptic number.

1101303012320 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 1101303012320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1515353104944).

1101303012320 is an abundant number, since it is smaller than the sum of its proper divisors (1929403197568).

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

1101303012320 is a wasteful number, since it uses less digits than its factorization.

1101303012320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189833 (or 189818 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 1101303012320 its reverse (232103031011), we get a palindrome (1333406043331).

The spelling of 1101303012320 in words is "one trillion, one hundred one billion, three hundred three million, twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 70 80 98 112 140 160 196 224 245 280 392 490 560 743 784 980 1120 1486 1568 1960 2972 3715 3920 5201 5944 7430 7840 10402 11888 14860 20804 23776 26005 29720 36407 41608 52010 59440 72814 83216 104020 118880 145628 166432 182035 189061 208040 291256 364070 378122 416080 582512 728140 756244 832160 945305 1165024 1323427 1456280 1512488 1890610 2646854 2912560 3024976 3781220 5293708 5825120 6049952 6617135 7562440 9263989 10587416 13234270 15124880 18527978 21174832 26468540 30249760 37055956 42349664 46319945 52937080 74111912 92639890 105874160 140472323 148223824 185279780 211748320 280944646 296447648 370559560 561889292 702361615 741119120 983306261 1123778584 1404723230 1482238240 1966612522 2247557168 2809446460 3933225044 4495114336 4916531305 5618892920 6883143827 7866450088 9833062610 11237785840 13766287654 15732900176 19666125220 22475571680 27532575308 31465800352 34415719135 39332250440 55065150616 68831438270 78664500880 110130301232 137662876540 157329001760 220260602464 275325753080 550651506160 1101303012320