Search a number
-
+
10331253120 = 273515734273
BaseRepresentation
bin10011001111100101…
…00110100110000000
3222200000002000222110
421213302212212000
5132124300044440
64425054335320
7514006126326
oct114762464600
928600060873
1010331253120
1144217a5421
122003aba540
13c8850b736
1470014dd16
15406ee2080
hex267ca6980

10331253120 has 128 divisors (see below), whose sum is σ = 33141587040. Its totient is φ = 2737373184.

The previous prime is 10331253113. The next prime is 10331253157. The reversal of 10331253120 is 2135213301.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 284304 + ... + 318576.

Almost surely, 210331253120 is an apocalyptic number.

10331253120 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 10331253120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16570793520).

10331253120 is an abundant number, since it is smaller than the sum of its proper divisors (22810333920).

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

10331253120 is a wasteful number, since it uses less digits than its factorization.

10331253120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34452 (or 34440 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

Adding to 10331253120 its reverse (2135213301), we get a palindrome (12466466421).

The spelling of 10331253120 in words is "ten billion, three hundred thirty-one million, two hundred fifty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 157 160 192 240 314 320 384 471 480 628 640 785 942 960 1256 1570 1884 1920 2355 2512 3140 3768 4710 5024 6280 7536 9420 10048 12560 15072 18840 20096 25120 30144 34273 37680 50240 60288 68546 75360 100480 102819 137092 150720 171365 205638 274184 301440 342730 411276 514095 548368 685460 822552 1028190 1096736 1370920 1645104 2056380 2193472 2741840 3290208 4112760 4386944 5380861 5483680 6580416 8225520 10761722 10967360 13160832 16142583 16451040 21523444 21934720 26904305 32285166 32902080 43046888 53808610 64570332 65804160 80712915 86093776 107617220 129140664 161425830 172187552 215234440 258281328 322851660 344375104 430468880 516562656 645703320 688750208 860937760 1033125312 1291406640 1721875520 2066250624 2582813280 3443751040 5165626560 10331253120