Search a number
-
+
11232211213300 = 22527119111601239
BaseRepresentation
bin1010001101110011001111…
…1101011001101111110100
31110202210022010000112120211
42203130303331121233310
52433012032032311200
635520001231435204
72236333444010230
oct243346375315764
943683263015524
1011232211213300
113640610452450
121314a64985b04
13636267c6484c
142ab8db61b5c0
1514729793baba
hexa3733f59bf4

11232211213300 has 144 divisors (see below), whose sum is σ = 30421612892160. Its totient is φ = 3497103792000.

The previous prime is 11232211213211. The next prime is 11232211213367. The reversal of 11232211213300 is 331211223211.

It is a Harshad number since it is a multiple of its sum of digits (22).

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, 6214081 + ... + 7815319.

It is an arithmetic number, because the mean of its divisors is an integer number (211261200640).

Almost surely, 211232211213300 is an apocalyptic number.

11232211213300 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 11232211213300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15210806446080).

11232211213300 is an abundant number, since it is smaller than the sum of its proper divisors (19189401678860).

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

11232211213300 is a wasteful number, since it uses less digits than its factorization.

11232211213300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1602182 (or 1602175 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 11232211213300 its reverse (331211223211), we get a palindrome (11563422436511).

The spelling of 11232211213300 in words is "eleven trillion, two hundred thirty-two billion, two hundred eleven million, two hundred thirteen thousand, three hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 100 110 140 154 175 220 275 308 350 385 550 700 770 911 1100 1540 1822 1925 3644 3850 4555 6377 7700 9110 10021 12754 18220 20042 22775 25508 31885 40084 45550 50105 63770 70147 91100 100210 127540 140294 159425 200420 250525 280588 318850 350735 501050 637700 701470 1002100 1402940 1601239 1753675 3202478 3507350 6404956 7014700 8006195 11208673 16012390 17613629 22417346 32024780 35227258 40030975 44834692 56043365 70454516 80061950 88068145 112086730 123295403 160123900 176136290 224173460 246590806 280216825 352272580 440340725 493181612 560433650 616477015 880681450 1120867300 1232954030 1458728729 1761362900 2465908060 2917457458 3082385075 5834914916 6164770150 7293643645 10211101103 12329540300 14587287290 16046016019 20422202206 29174574580 32092032038 36468218225 40844404412 51055505515 64184064076 72936436450 80230080095 102111011030 112322112133 145872872900 160460160190 204222022060 224644224266 255277527575 320920320380 401150400475 449288448532 510555055150 561610560665 802300800950 1021110110300 1123221121330 1604601601900 2246442242660 2808052803325 5616105606650 11232211213300