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11201133210 = 23537431092153
BaseRepresentation
bin10100110111010001…
…11011101010011010
31001220121220112010120
422123220323222122
5140414442230320
65051251054110
7544401030021
oct123350735232
931817815116
1011201133210
114828825193
1222072a1336
1310967ba697
147838a98b8
1545856e440
hex29ba3ba9a

11201133210 has 128 divisors (see below), whose sum is σ = 28523784960. Its totient is φ = 2811303936.

The previous prime is 11201133199. The next prime is 11201133221. The reversal of 11201133210 is 1233110211.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11201133199) and next prime (11201133221).

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 11201133210.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5201494 + ... + 5203646.

It is an arithmetic number, because the mean of its divisors is an integer number (222842070).

Almost surely, 211201133210 is an apocalyptic number.

11201133210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11201133210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14261892480).

11201133210 is an abundant number, since it is smaller than the sum of its proper divisors (17322651750).

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

11201133210 is a wasteful number, since it uses less digits than its factorization.

11201133210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2352.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 11201133210 its reverse (1233110211), we get a palindrome (12434243421).

The spelling of 11201133210 in words is "eleven billion, two hundred one million, one hundred thirty-three thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 30 37 43 74 86 109 111 129 185 215 218 222 258 327 370 430 545 555 645 654 1090 1110 1290 1591 1635 2153 3182 3270 4033 4306 4687 4773 6459 7955 8066 9374 9546 10765 12099 12918 14061 15910 20165 21530 23435 23865 24198 28122 32295 40330 46870 47730 60495 64590 70305 79661 92579 120990 140610 159322 173419 185158 234677 238983 277737 346838 398305 462895 469354 477966 520257 555474 704031 796610 867095 925790 1040514 1173385 1194915 1388685 1408062 1734190 2346770 2389830 2601285 2777370 3425423 3520155 5202570 6850846 7040310 8683049 10091111 10276269 17127115 17366098 20182222 20552538 26049147 30273333 34254230 43415245 50455555 51381345 52098294 60546666 86830490 100911110 102762690 130245735 151366665 260491470 302733330 373371107 746742214 1120113321 1866855535 2240226642 3733711070 5600566605 11201133210