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11003213103030 = 23251721413359011
BaseRepresentation
bin1010000000011110001010…
…0110111011111110110110
31102221220012211200020001100
42200013202212323332312
52420234040023244110
635222450055310530
72213645610125541
oct240074246737666
942856184606040
1011003213103030
113562488a41865
1212985b597b446
1361a7a1ccc955
142a07b61b1858
151413437e4bc0
hexa01e29bbfb6

11003213103030 has 96 divisors (see below), whose sum is σ = 30305355601248. Its totient is φ = 2760300057600.

The previous prime is 11003213103019. The next prime is 11003213103079. The reversal of 11003213103030 is 3030131230011.

It is a happy number.

11003213103030 is a `hidden beast` number, since 1 + 1 + 0 + 0 + 321 + 310 + 3 + 0 + 30 = 666.

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 = 11003213102994 and 11003213103012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1596225 + ... + 4955235.

It is an arithmetic number, because the mean of its divisors is an integer number (315680787513).

Almost surely, 211003213103030 is an apocalyptic number.

11003213103030 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 11003213103030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15152677800624).

11003213103030 is an abundant number, since it is smaller than the sum of its proper divisors (19302142498218).

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

11003213103030 is a wasteful number, since it uses less digits than its factorization.

11003213103030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3361182 (or 3361179 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 11003213103030 its reverse (3030131230011), we get a palindrome (14033344333041).

The spelling of 11003213103030 in words is "eleven trillion, three billion, two hundred thirteen million, one hundred three thousand, 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 2141 4282 6423 10705 12846 19269 21410 32115 36397 38538 64230 72794 96345 109191 181985 192690 218382 327573 363970 545955 655146 1091910 1637865 3275730 3359011 6718022 10077033 16795055 20154066 30231099 33590110 50385165 57103187 60462198 100770330 114206374 151155495 171309561 285515935 302310990 342619122 513928683 571031870 856547805 1027857366 1713095610 2569643415 5139286830 7191642551 14383285102 21574927653 35958212755 43149855306 64724782959 71916425510 107874638265 122257923367 129449565918 215749276530 244515846734 323623914795 366773770101 611289616835 647247829590 733547540202 1100321310303 1222579233670 1833868850505 2200642620606 3667737701010 5501606551515 11003213103030