Search a number
-
+
11141141130 = 2325753333667
BaseRepresentation
bin10100110000001000…
…00101001010001010
31001202110000121110200
422120010011022022
5140304113004010
65041305153030
7543042065010
oct123004051212
931673017420
1011141141130
1147a797a259
1221ab18b776
131087244202
147799308b0
1545316dcc0
hex29810528a

11141141130 has 96 divisors (see below), whose sum is σ = 33729830784. Its totient is φ = 2498491008.

The previous prime is 11141141111. The next prime is 11141141147. The reversal of 11141141130 is 3114114111.

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 (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 133444 + ... + 200223.

It is an arithmetic number, because the mean of its divisors is an integer number (351352404).

Almost surely, 211141141130 is an apocalyptic number.

11141141130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11141141130 is an abundant number, since it is smaller than the sum of its proper divisors (22588689654).

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

11141141130 is a wasteful number, since it uses less digits than its factorization.

11141141130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333740 (or 333737 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 11141141130 its reverse (3114114111), we get a palindrome (14255255241).

It can be divided in two parts, 11 and 141141130, that added together give a palindrome (141141141).

The spelling of 11141141130 in words is "eleven billion, one hundred forty-one million, one hundred forty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 53 63 70 90 105 106 126 159 210 265 315 318 371 477 530 630 742 795 954 1113 1590 1855 2226 2385 3339 3710 4770 5565 6678 11130 16695 33390 333667 667334 1001001 1668335 2002002 2335669 3003003 3336670 4671338 5005005 6006006 7007007 10010010 11678345 14014014 15015015 17684351 21021021 23356690 30030030 35035035 35368702 42042042 53053053 70070070 88421755 105105105 106106106 123790457 159159159 176843510 210210210 247580914 265265265 318318318 371371371 530530530 618952285 742742742 795795795 1114114113 1237904570 1591591590 1856856855 2228228226 3713713710 5570570565 11141141130