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10202332031320 = 23511134919362599
BaseRepresentation
bin1001010001110110101001…
…1000000110100101011000
31100010100000001122101220011
42110131222120012211120
52314123334000000240
633410515302411304
72102044204261402
oct224355230064530
940110001571804
1010202332031320
11328386a503930
121189344430b34
135900ca656290
14273b1cc19b72
1512a5bceb46ea
hex9476a606958

10202332031320 has 128 divisors (see below), whose sum is σ = 26973959040000. Its totient is φ = 3423853370880.

The previous prime is 10202332031303. The next prime is 10202332031341. The reversal of 10202332031320 is 2313023320201.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 10202332031291 and 10202332031300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27955381 + ... + 28317979.

It is an arithmetic number, because the mean of its divisors is an integer number (210734055000).

Almost surely, 210202332031320 is an apocalyptic number.

10202332031320 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 10202332031320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13486979520000).

10202332031320 is an abundant number, since it is smaller than the sum of its proper divisors (16771627008680).

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

10202332031320 is a wasteful number, since it uses less digits than its factorization.

10202332031320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367553 (or 367549 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 10202332031320 its reverse (2313023320201), we get a palindrome (12515355351521).

The spelling of 10202332031320 in words is "ten trillion, two hundred two billion, three hundred thirty-two million, thirty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 40 44 52 55 65 88 104 110 130 143 220 260 286 440 520 572 715 1144 1430 2860 4919 5720 9838 19676 24595 39352 49190 54109 63947 98380 108218 127894 196760 216436 255788 270545 319735 362599 432872 511576 541090 639470 703417 725198 1082180 1278940 1406834 1450396 1812995 2164360 2557880 2813668 2900792 3517085 3625990 3988589 4713787 5627336 7034170 7251980 7977178 9427574 14068340 14503960 15954356 18855148 19942945 23568935 28136680 31908712 37710296 39885890 47137870 51851657 79771780 94275740 103703314 159543560 188551480 207406628 259258285 414813256 518516570 1037033140 1783624481 2074066280 3567248962 7134497924 8918122405 14268995848 17836244810 19619869291 23187118253 35672489620 39239738582 46374236506 71344979240 78479477164 92748473012 98099346455 115935591265 156958954328 185496946024 196198692910 231871182530 255058300783 392397385820 463742365060 510116601566 784794771640 927484730120 1020233203132 1275291503915 2040466406264 2550583007830 5101166015660 10202332031320