Search a number
-
+
11000003232300 = 22352239371701391
BaseRepresentation
bin1010000000010010001101…
…0010010000001000101100
31102221120221010201220012020
42200010203102100020230
52420211001311413200
635221155352510140
72213503222515045
oct240044322201054
942846833656166
1011000003232300
113561091067435
121297a5a9ab350
1361a3accb6364
142a058db778cc
15141206ae6ea0
hexa012349022c

11000003232300 has 144 divisors (see below), whose sum is σ = 33245907459072. Its totient is φ = 2802801830400.

The previous prime is 11000003232293. The next prime is 11000003232311. The reversal of 11000003232300 is 323230000011.

It is a super-2 number, since 2×110000032323002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11000003232300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5614605 + ... + 7315995.

Almost surely, 211000003232300 is an apocalyptic number.

11000003232300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11000003232300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16622953729536).

11000003232300 is an abundant number, since it is smaller than the sum of its proper divisors (22245904226772).

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

11000003232300 is a wasteful number, since it uses less digits than its factorization.

11000003232300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1702368 (or 1702361 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 11000003232300 its reverse (323230000011), we get a palindrome (11323233232311).

The spelling of 11000003232300 in words is "eleven trillion, three million, two hundred thirty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 46 50 60 69 75 92 100 115 138 150 230 276 300 345 460 575 690 937 1150 1380 1725 1874 2300 2811 3450 3748 4685 5622 6900 9370 11244 14055 18740 21551 23425 28110 43102 46850 56220 64653 70275 86204 93700 107755 129306 140550 215510 258612 281100 323265 431020 538775 646530 1077550 1293060 1616325 1701391 2155100 3232650 3402782 5104173 6465300 6805564 8506955 10208346 17013910 20416692 25520865 34027820 39131993 42534775 51041730 78263986 85069550 102083460 117395979 127604325 156527972 170139100 195659965 234791958 255208650 391319930 469583916 510417300 586979895 782639860 978299825 1173959790 1594203367 1956599650 2347919580 2934899475 3188406734 3913199300 4782610101 5869798950 6376813468 7971016835 9565220202 11739597900 15942033670 19130440404 23913050505 31884067340 36666677441 39855084175 47826101010 73333354882 79710168350 95652202020 110000032323 119565252525 146666709764 159420336700 183333387205 220000064646 239130505050 366666774410 440000129292 478261010100 550000161615 733333548820 916666936025 1100000323230 1833333872050 2200000646460 2750000808075 3666667744100 5500001616150 11000003232300