Search a number
-
+
11033012240 = 2451737435099
BaseRepresentation
bin10100100011001111…
…00110100000010000
31001110220120002111222
422101213212200100
5140043422342430
65022443424212
7540260025305
oct122147464020
931426502458
1011033012240
114751936438
12217ab25068
13106aa15713
147694250ac
154489109e5
hex2919e6810

11033012240 has 160 divisors (see below), whose sum is σ = 28549065600. Its totient is φ = 3946586112.

The previous prime is 11033012171. The next prime is 11033012267. The reversal of 11033012240 is 4221033011.

It is a Harshad number since it is a multiple of its sum of digits (17).

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 31 ways as a sum of consecutive naturals, for example, 2161211 + ... + 2166309.

It is an arithmetic number, because the mean of its divisors is an integer number (178431660).

Almost surely, 211033012240 is an apocalyptic number.

11033012240 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 11033012240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14274532800).

11033012240 is an abundant number, since it is smaller than the sum of its proper divisors (17516053360).

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

11033012240 is a wasteful number, since it uses less digits than its factorization.

11033012240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5209 (or 5203 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 11033012240 its reverse (4221033011), we get a palindrome (15254045251).

The spelling of 11033012240 in words is "eleven billion, thirty-three million, twelve thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 37 40 43 68 74 80 85 86 136 148 170 172 185 215 272 296 340 344 370 430 592 629 680 688 731 740 860 1258 1360 1462 1480 1591 1720 2516 2924 2960 3145 3182 3440 3655 5032 5099 5848 6290 6364 7310 7955 10064 10198 11696 12580 12728 14620 15910 20396 25160 25456 25495 27047 29240 31820 40792 50320 50990 54094 58480 63640 81584 86683 101980 108188 127280 135235 173366 188663 203960 216376 219257 270470 346732 377326 407920 432752 433415 438514 540940 693464 754652 866830 877028 943315 1081880 1096285 1386928 1509304 1733660 1754056 1886630 2163760 2192570 3018608 3207271 3467320 3508112 3727369 3773260 4385140 6414542 6934640 7454738 7546520 8112509 8770280 12829084 14909476 15093040 16036355 16225018 17540560 18636845 25658168 29818952 32072710 32450036 37273690 40562545 51316336 59637904 64145420 64900072 74547380 81125090 128290840 129800144 137912653 149094760 162250180 256581680 275825306 298189520 324500360 551650612 649000720 689563265 1103301224 1379126530 2206602448 2758253060 5516506120 11033012240