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201130003000332 = 223273725318522803
BaseRepresentation
bin101101101110110100111010…
…011000011110110000001100
3222101010211200201122011100200
4231232310322120132300030
5202330303221232002312
61551433503043253500
760236106654325320
oct5556647230366014
9871124621564320
10201130003000332
11590a483427758a
121a68441307a290
13882c629c3ca93
143794a5bab7980
15183bcbda5d0dc
hexb6ed3a61ec0c

201130003000332 has 144 divisors (see below), whose sum is σ = 596981919835392. Its totient is φ = 55890490043520.

The previous prime is 201130003000321. The next prime is 201130003000393. The reversal of 201130003000332 is 233000300031102.

201130003000332 is a `hidden beast` number, since 2 + 0 + 1 + 1 + 30 + 0 + 0 + 300 + 0 + 332 = 666.

It is a super-3 number, since 3×2011300030003323 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

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, 19337643 + ... + 27860445.

Almost surely, 2201130003000332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201130003000332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298490959917696).

201130003000332 is an abundant number, since it is smaller than the sum of its proper divisors (395851916835060).

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

201130003000332 is a wasteful number, since it uses less digits than its factorization.

201130003000332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8525388 (or 8525383 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 201130003000332 its reverse (233000300031102), we get a palindrome (434130303031434).

The spelling of 201130003000332 in words is "two hundred one trillion, one hundred thirty billion, three million, three hundred thirty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 37 42 63 74 84 111 126 148 222 252 259 333 444 518 666 777 1036 1332 1554 2331 2531 3108 4662 5062 7593 9324 10124 15186 17717 22779 30372 35434 45558 53151 70868 91116 93647 106302 159453 187294 212604 280941 318906 374588 561882 637812 655529 842823 1123764 1311058 1685646 1966587 2622116 3371292 3933174 5899761 7866348 8522803 11799522 17045606 23599044 25568409 34091212 51136818 59659621 76705227 102273636 119319242 153410454 178978863 238638484 306820908 315343711 357957726 536936589 630687422 715915452 946031133 1073873178 1261374844 1892062266 2147746356 2207405977 2838093399 3784124532 4414811954 5676186798 6622217931 8829623908 11352373596 13244435862 19866653793 21571214393 26488871724 39733307586 43142428786 64713643179 79466615172 86284857572 129427286358 150998500751 194140929537 258854572716 301997001502 388281859074 452995502253 603994003004 776563718148 798134932541 905991004506 1358986506759 1596269865082 1811982009012 2394404797623 2717973013518 3192539730164 4788809595246 5435946027036 5586944527787 7183214392869 9577619190492 11173889055574 14366428785738 16760833583361 22347778111148 28732857571476 33521667166722 50282500750083 67043334333444 100565001500166 201130003000332