Search a number
-
+
11201212110 = 23511172298719
BaseRepresentation
bin10100110111010010…
…01110111011001110
31001220122001112100210
422123221032323032
5140420002241420
65051252503250
7544401506034
oct123351167316
931818045323
1011201212110
1148288794a0
12220731ab26
13109681757a
147838ca554
154585879e0
hex29ba4eece

11201212110 has 128 divisors (see below), whose sum is σ = 31191091200. Its totient is φ = 2544261120.

The previous prime is 11201212109. The next prime is 11201212111. The reversal of 11201212110 is 1121210211.

It is an interprime number because it is at equal distance from previous prime (11201212109) and next prime (11201212111).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11201212111) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1280331 + ... + 1289049.

It is an arithmetic number, because the mean of its divisors is an integer number (243680400).

Almost surely, 211201212110 is an apocalyptic number.

11201212110 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 11201212110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15595545600).

11201212110 is an abundant number, since it is smaller than the sum of its proper divisors (19989879090).

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

11201212110 is a wasteful number, since it uses less digits than its factorization.

11201212110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8986.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11201212110 its reverse (1121210211), we get a palindrome (12322422321).

The spelling of 11201212110 in words is "eleven billion, two hundred one million, two hundred twelve thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 11 15 17 22 30 33 34 51 55 66 85 102 110 165 170 187 229 255 330 374 458 510 561 687 935 1122 1145 1374 1870 2290 2519 2805 3435 3893 5038 5610 6870 7557 7786 8719 11679 12595 15114 17438 19465 23358 25190 26157 37785 38930 42823 43595 52314 58395 75570 85646 87190 95909 116790 128469 130785 148223 191818 214115 256938 261570 287727 296446 428230 444669 479545 575454 642345 741115 889338 959090 1284690 1438635 1482230 1630453 1996651 2223345 2877270 3260906 3993302 4446690 4891359 5989953 8152265 9782718 9983255 11979906 16304530 19966510 21963161 24456795 29949765 33943067 43926322 48913590 59899530 65889483 67886134 101829201 109815805 131778966 169715335 203658402 219631610 329447415 339430670 373373737 509146005 658894830 746747474 1018292010 1120121211 1866868685 2240242422 3733737370 5600606055 11201212110