Search a number
-
+
1110221330130 = 2325111703365839
BaseRepresentation
bin10000001001111110010…
…110010001011011010010
310221010200020022010201100
4100021332112101123102
5121142213130031010
62210010104045230
7143132214412563
oct20117626213322
93833606263640
101110221330130
11398929aa7670
1215b202a63816
13809025aa703
143ba40ba216a
151dd2cecd2c0
hex1027e5916d2

1110221330130 has 96 divisors (see below), whose sum is σ = 3149224116480. Its totient is φ = 269124675840.

The previous prime is 1110221330117. The next prime is 1110221330167. The reversal of 1110221330130 is 310331220111.

1110221330130 is a `hidden beast` number, since 1 + 110 + 221 + 3 + 301 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 47 ways as a sum of consecutive naturals, for example, 16829751 + ... + 16895589.

It is an arithmetic number, because the mean of its divisors is an integer number (32804417880).

Almost surely, 21110221330130 is an apocalyptic number.

1110221330130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1110221330130 is an abundant number, since it is smaller than the sum of its proper divisors (2039002786350).

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

1110221330130 is a wasteful number, since it uses less digits than its factorization.

1110221330130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82896 (or 82893 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1110221330130 its reverse (310331220111), we get a palindrome (1420552550241).

The spelling of 1110221330130 in words is "one trillion, one hundred ten billion, two hundred twenty-one million, three hundred thirty thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 990 17033 34066 51099 65839 85165 102198 131678 153297 170330 187363 197517 255495 306594 329195 374726 395034 510990 562089 592551 658390 724229 766485 936815 987585 1124178 1185102 1448458 1532970 1686267 1873630 1975170 2172687 2810445 2962755 3372534 3621145 4345374 5620890 5925510 6518061 7242290 8431335 10863435 13036122 16862670 21726870 32590305 65180610 1121435687 2242871374 3364307061 5607178435 6728614122 10092921183 11214356870 12335792557 16821535305 20185842366 24671585114 33643070610 37007377671 50464605915 61678962785 74014755342 100929211830 111022133013 123357925570 185036888355 222044266026 370073776710 555110665065 1110221330130