Search a number
-
+
11003320102302 = 23211474212808527
BaseRepresentation
bin1010000000011110100011…
…1111000110110110011110
31102221220111022000100110100
42200013220333012312132
52420234244421233202
635222504440521530
72213651346452013
oct240075077066636
942856438010410
1011003320102302
113562533383a10
1212986257802a6
1361a7bb224228
142a07c64a570a
1514134cdcd41c
hexa01e8fc6d9e

11003320102302 has 96 divisors (see below), whose sum is σ = 26624306202624. Its totient is φ = 3255643339200.

The previous prime is 11003320102301. The next prime is 11003320102351. The reversal of 11003320102302 is 20320102330011.

11003320102302 is a `hidden beast` number, since 1 + 100 + 3 + 320 + 10 + 230 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11003320102301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2513563 + ... + 5322089.

It is an arithmetic number, because the mean of its divisors is an integer number (277336522944).

Almost surely, 211003320102302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11003320102302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13312153101312).

11003320102302 is an abundant number, since it is smaller than the sum of its proper divisors (15620986100322).

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

11003320102302 is a wasteful number, since it uses less digits than its factorization.

11003320102302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2809014 (or 2809011 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 11003320102302 its reverse (20320102330011), we get a palindrome (31323422432313).

The spelling of 11003320102302 in words is "eleven trillion, three billion, three hundred twenty million, one hundred two thousand, three hundred two".

Divisors: 1 2 3 6 9 11 18 22 33 47 66 94 99 141 198 282 421 423 517 842 846 1034 1263 1551 2526 3102 3789 4631 4653 7578 9262 9306 13893 19787 27786 39574 41679 59361 83358 118722 178083 217657 356166 435314 652971 1305942 1958913 2808527 3917826 5617054 8425581 16851162 25276743 30893797 50553486 61787594 92681391 132000769 185362782 264001538 278044173 396002307 556088346 792004614 1182389867 1188006921 1452008459 2364779734 2376013842 2904016918 3547169601 4356025377 7094339202 8712050754 10641508803 13006288537 13068076131 21283017606 26012577074 26136152262 39018865611 55572323749 78037731222 111144647498 117056596833 166716971247 234113193666 333433942494 500150913741 611295561239 1000301827482 1222591122478 1833886683717 3667773367434 5501660051151 11003320102302