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11333103030 = 2325238365963
BaseRepresentation
bin10101000111000000…
…10110110110110110
31002020211020021200200
422203200112312312
5141202233244110
65112323421330
7550562533464
oct124340266666
932224207620
1011333103030
114896272057
122243524846
1310b7c45932
1479721d834
15464e3b6c0
hex2a3816db6

11333103030 has 96 divisors (see below), whose sum is σ = 31118121216. Its totient is φ = 2855890752.

The previous prime is 11333103017. The next prime is 11333103031. The reversal of 11333103030 is 3030133311.

11333103030 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 11333102994 and 11333103012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11333103031) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 138829 + ... + 204791.

It is an arithmetic number, because the mean of its divisors is an integer number (324147096).

Almost surely, 211333103030 is an apocalyptic number.

11333103030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11333103030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15559060608).

11333103030 is an abundant number, since it is smaller than the sum of its proper divisors (19785018186).

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

11333103030 is a wasteful number, since it uses less digits than its factorization.

11333103030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66082 (or 66079 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

Adding to 11333103030 its reverse (3030133311), we get a palindrome (14363236341).

The spelling of 11333103030 in words is "eleven billion, three hundred thirty-three million, one hundred three thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 69 83 90 115 138 166 207 230 249 345 414 415 498 690 747 830 1035 1245 1494 1909 2070 2490 3735 3818 5727 7470 9545 11454 17181 19090 28635 34362 57270 65963 85905 131926 171810 197889 329815 395778 593667 659630 989445 1187334 1517149 1978890 2968335 3034298 4551447 5474929 5936670 7585745 9102894 10949858 13654341 15171490 16424787 22757235 27308682 27374645 32849574 45514470 49274361 54749290 68271705 82123935 98548722 125923367 136543410 164247870 246371805 251846734 377770101 492743610 629616835 755540202 1133310303 1259233670 1888850505 2266620606 3777701010 5666551515 11333103030