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1001110330200 = 2335215111104247
BaseRepresentation
bin11101001000101101101…
…00110101101101011000
310112201001002201001011210
432210112310311231120
5112400233221031300
62043523112423120
7132220306255221
oct16442664655530
93481032631153
101001110330200
11356628756462
121420319a7aa0
1373534325466
143664dab4248
151b093e8d050
hexe916d35b58

1001110330200 has 96 divisors (see below), whose sum is σ = 3105498735360. Its totient is φ = 266785833600.

The previous prime is 1001110330183. The next prime is 1001110330217. The reversal of 1001110330200 is 20330111001.

It is an interprime number because it is at equal distance from previous prime (1001110330183) and next prime (1001110330217).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 354477 + ... + 1458723.

It is an arithmetic number, because the mean of its divisors is an integer number (32348945160).

Almost surely, 21001110330200 is an apocalyptic number.

1001110330200 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 1001110330200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1552749367680).

1001110330200 is an abundant number, since it is smaller than the sum of its proper divisors (2104388405160).

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

1001110330200 is a wasteful number, since it uses less digits than its factorization.

1001110330200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1105777 (or 1105768 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 1001110330200 its reverse (20330111001), we get a palindrome (1021440441201).

The spelling of 1001110330200 in words is "one trillion, one billion, one hundred ten million, three hundred thirty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 1511 3022 4533 6044 7555 9066 12088 15110 18132 22665 30220 36264 37775 45330 60440 75550 90660 113325 151100 181320 226650 302200 453300 906600 1104247 2208494 3312741 4416988 5521235 6625482 8833976 11042470 13250964 16563705 22084940 26501928 27606175 33127410 44169880 55212350 66254820 82818525 110424700 132509640 165637050 220849400 331274100 662548200 1668517217 3337034434 5005551651 6674068868 8342586085 10011103302 13348137736 16685172170 20022206604 25027758255 33370344340 40044413208 41712930425 50055516510 66740688680 83425860850 100111033020 125138791275 166851721700 200222066040 250277582550 333703443400 500555165100 1001110330200