Search a number
-
+
1120303211130 = 232517732224321
BaseRepresentation
bin10000010011010111010…
…001100110001001111010
310222002200212010202110100
4100103113101212021322
5121323340110224010
62214354333500230
7143640105113625
oct20232721461172
93862625122410
101120303211130
113a2132a58024
12161157341676
138184b23647c
143c319b5adbc
151e21d1622c0
hex104d746627a

1120303211130 has 48 divisors (see below), whose sum is σ = 3084128844264. Its totient is φ = 281174138880.

The previous prime is 1120303211089. The next prime is 1120303211173. The reversal of 1120303211130 is 311123030211.

1120303211130 is a `hidden beast` number, since 1 + 1 + 20 + 303 + 211 + 130 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1035015265449 + 85287945681 = 1017357^2 + 292041^2 .

It is a super-3 number, since 3×11203032111303 (a number of 37 digits) contains 333 as substring.

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

It is a Curzon number.

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 23 ways as a sum of consecutive naturals, for example, 366110631 + ... + 366113690.

Almost surely, 21120303211130 is an apocalyptic number.

1120303211130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1120303211130 is an abundant number, since it is smaller than the sum of its proper divisors (1963825633134).

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

1120303211130 is a wasteful number, since it uses less digits than its factorization.

1120303211130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732224351 (or 732224348 counting only the distinct ones).

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

Adding to 1120303211130 its reverse (311123030211), we get a palindrome (1431426241341).

The spelling of 1120303211130 in words is "one trillion, one hundred twenty billion, three hundred three million, two hundred eleven thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 306 510 765 1530 732224321 1464448642 2196672963 3661121605 4393345926 6590018889 7322243210 10983364815 12447813457 13180037778 21966729630 24895626914 32950094445 37343440371 62239067285 65900188890 74686880742 112030321113 124478134570 186717201855 224060642226 373434403710 560151605565 1120303211130