Search a number
-
+
11140530120 = 2332530945917
BaseRepresentation
bin10100110000000011…
…01111111111001000
31001202101212120022200
422120001233333020
5140303433430440
65041244120200
7543033641436
oct123001577710
931671776280
1011140530120
1147a75a2195
1221aab36060
13108708c075
14779811d56
1545309cc30
hex29806ffc8

11140530120 has 48 divisors (see below), whose sum is σ = 36206724060. Its totient is φ = 2970807936.

The previous prime is 11140530041. The next prime is 11140530169. The reversal of 11140530120 is 2103504111.

11140530120 is a `hidden beast` number, since 1 + 1 + 14 + 0 + 530 + 120 = 666.

11140530120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 10609412004 + 531118116 = 103002^2 + 23046^2 .

It is a super-2 number, since 2×111405301202 (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 11140530093 and 11140530102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15472599 + ... + 15473318.

Almost surely, 211140530120 is an apocalyptic number.

11140530120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11140530120 is an abundant number, since it is smaller than the sum of its proper divisors (25066193940).

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

11140530120 is a wasteful number, since it uses less digits than its factorization.

11140530120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30945934 (or 30945927 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The spelling of 11140530120 in words is "eleven billion, one hundred forty million, five hundred thirty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 30945917 61891834 92837751 123783668 154729585 185675502 247567336 278513253 309459170 371351004 464188755 557026506 618918340 742702008 928377510 1114053012 1237836680 1392566265 1856755020 2228106024 2785132530 3713510040 5570265060 11140530120