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2102213313320 = 2352311331916337
BaseRepresentation
bin11110100101110101101…
…011011000001100101000
321102222011212020011022012
4132211311223120030220
5233420313102011240
64245424331015052
7304610543222051
oct36456553301450
97388155204265
102102213313320
117405a8679a4a
1229b50ab9a488
13123312787163
1473a67855728
1539a3b6b3b65
hex1e975ad8328

2102213313320 has 128 divisors (see below), whose sum is σ = 4981655831040. Its totient is φ = 796831580160.

The previous prime is 2102213313311. The next prime is 2102213313329. The reversal of 2102213313320 is 233133122012.

It is an interprime number because it is at equal distance from previous prime (2102213313311) and next prime (2102213313329).

It is a Harshad number since it is a multiple of its sum of digits (23).

It is not an unprimeable number, because it can be changed into a prime (2102213313329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 331733192 + ... + 331739528.

It is an arithmetic number, because the mean of its divisors is an integer number (38919186180).

Almost surely, 22102213313320 is an apocalyptic number.

2102213313320 is a gapful number since it is divisible by the number (20) 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 2102213313320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2490827915520).

2102213313320 is an abundant number, since it is smaller than the sum of its proper divisors (2879442517720).

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

2102213313320 is a wasteful number, since it uses less digits than its factorization.

2102213313320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9675 (or 9671 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 2102213313320 its reverse (233133122012), we get a palindrome (2335346435332).

The spelling of 2102213313320 in words is "two trillion, one hundred two billion, two hundred thirteen million, three hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 113 115 184 226 230 452 460 565 904 920 1130 2260 2599 3191 4520 5198 6337 6382 10396 12674 12764 12995 15955 20792 25348 25528 25990 31685 31910 50696 51980 63370 63820 73393 103960 126740 127640 145751 146786 253480 291502 293572 360583 366965 583004 587144 716081 721166 728755 733930 1166008 1432162 1442332 1457510 1467860 1802915 2864324 2884664 2915020 2935720 3580405 3605830 5728648 5830040 7160810 7211660 8293409 14321620 14423320 16469863 16586818 20221367 28643240 32939726 33173636 40442734 41467045 65879452 66347272 80885468 82349315 82934090 101106835 131758904 161770936 164698630 165868180 202213670 329397260 331736360 404427340 465091441 658794520 808854680 930182882 1860365764 2285014471 2325457205 3720731528 4570028942 4650914410 9140057884 9301828820 11425072355 18280115768 18603657640 22850144710 45700289420 52555332833 91400578840 105110665666 210221331332 262776664165 420442662664 525553328330 1051106656660 2102213313320