Search a number
-
+
2003221102000 = 24538346126177
BaseRepresentation
bin11101001001101001010…
…010000011110110110000
321002111122220220210020011
4131021221102003312300
5230310044100231000
64132133404224304
7264504454264006
oct35115122036660
97074586823204
102003221102000
1170261a0a7458
122842a283b094
13116b979b0aa1
146cd565aca76
1537195b982ba
hex1d269483db0

2003221102000 has 160 divisors (see below), whose sum is σ = 4912968924864. Its totient is φ = 789886976000.

The previous prime is 2003221101983. The next prime is 2003221102009. The reversal of 2003221102000 is 2011223002.

It is not an unprimeable number, because it can be changed into a prime (2003221102009) by changing a digit.

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, 76512912 + ... + 76539088.

Almost surely, 22003221102000 is an apocalyptic number.

2003221102000 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 2003221102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2456484462432).

2003221102000 is an abundant number, since it is smaller than the sum of its proper divisors (2909747822864).

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

2003221102000 is a wasteful number, since it uses less digits than its factorization.

2003221102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26744 (or 26728 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 2003221102000 its reverse (2011223002), we get a palindrome (2005232325002).

The spelling of 2003221102000 in words is "two trillion, three billion, two hundred twenty-one million, one hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 83 100 125 166 200 250 332 400 415 461 500 664 830 922 1000 1328 1660 1844 2000 2075 2305 3320 3688 4150 4610 6640 7376 8300 9220 10375 11525 16600 18440 20750 23050 26177 33200 36880 38263 41500 46100 52354 57625 76526 83000 92200 104708 115250 130885 153052 166000 184400 191315 209416 230500 261770 306104 382630 418832 461000 523540 612208 654425 765260 922000 956575 1047080 1308850 1530520 1913150 2094160 2172691 2617700 3061040 3272125 3826300 4345382 4782875 5235400 6544250 7652600 8690764 9565750 10470800 10863455 12067597 13088500 15305200 17381528 19131500 21726910 24135194 26177000 34763056 38263000 43453820 48270388 52354000 54317275 60337985 76526000 86907640 96540776 108634550 120675970 173815280 193081552 217269100 241351940 271586375 301689925 434538200 482703880 543172750 603379850 869076400 965407760 1001610551 1086345500 1206759700 1508449625 2003221102 2172691000 2413519400 3016899250 4006442204 4345382000 4827038800 5008052755 6033798500 8012884408 10016105510 12067597000 16025768816 20032211020 24135194000 25040263775 40064422040 50080527550 80128844080 100161055100 125201318875 200322110200 250402637750 400644220400 500805275500 1001610551000 2003221102000