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11030330000 = 24549771129
BaseRepresentation
bin10100100010111010…
…10111101010010000
31001110201111211011202
422101131113222100
5140042231030000
65022310130332
7540225154334
oct122135275220
931421454152
1011030330000
114750374208
12217a0509a8
13106a2b68b1
14768d277c4
15448580dd5
hex291757a90

11030330000 has 100 divisors (see below), whose sum is σ = 26756544540. Its totient is φ = 4403712000.

The previous prime is 11030329987. The next prime is 11030330021. The reversal of 11030330000 is 3303011.

It can be written as a sum of positive squares in 10 ways, for example, as 8296295056 + 2734034944 = 91084^2 + 52288^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9769436 + ... + 9770564.

Almost surely, 211030330000 is an apocalyptic number.

11030330000 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 11030330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13378272270).

11030330000 is an abundant number, since it is smaller than the sum of its proper divisors (15726214540).

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

11030330000 is an equidigital number, since it uses as much as digits as its factorization.

11030330000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2134 (or 2113 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 11.

Adding to 11030330000 its reverse (3303011), we get a palindrome (11033633011).

The spelling of 11030330000 in words is "eleven billion, thirty million, three hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 977 1000 1129 1250 1954 2000 2258 2500 3908 4516 4885 5000 5645 7816 9032 9770 10000 11290 15632 18064 19540 22580 24425 28225 39080 45160 48850 56450 78160 90320 97700 112900 122125 141125 195400 225800 244250 282250 390800 451600 488500 564500 610625 705625 977000 1103033 1129000 1221250 1411250 1954000 2206066 2258000 2442500 2822500 4412132 4885000 5515165 5645000 8824264 9770000 11030330 11290000 17648528 22060660 27575825 44121320 55151650 88242640 110303300 137879125 220606600 275758250 441213200 551516500 689395625 1103033000 1378791250 2206066000 2757582500 5515165000 11030330000