Search a number
-
+
11150224110 = 2325712277687
BaseRepresentation
bin10100110001001101…
…01110101011101110
31001210002010001222100
422120212232223232
5140313424132420
65042231555530
7543212225004
oct123046565356
931702101870
1011150224110
114802013453
1221b222bba6
1310890a455c
1477ac16a74
15453d65190
hex2989aeaee

11150224110 has 96 divisors (see below), whose sum is σ = 29532252672. Its totient is φ = 2918220480.

The previous prime is 11150224051. The next prime is 11150224139. The reversal of 11150224110 is 1142205111.

11150224110 is a `hidden beast` number, since 111 + 502 + 2 + 41 + 10 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 1446687 + ... + 1454373.

It is an arithmetic number, because the mean of its divisors is an integer number (307627632).

Almost surely, 211150224110 is an apocalyptic number.

11150224110 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 11150224110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14766126336).

11150224110 is an abundant number, since it is smaller than the sum of its proper divisors (18382028562).

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

11150224110 is a wasteful number, since it uses less digits than its factorization.

11150224110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7998 (or 7995 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

Adding to 11150224110 its reverse (1142205111), we get a palindrome (12292429221).

The spelling of 11150224110 in words is "eleven billion, one hundred fifty million, two hundred twenty-four thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 71 90 142 213 227 355 426 454 639 681 710 1065 1135 1278 1362 2043 2130 2270 3195 3405 4086 6390 6810 7687 10215 15374 16117 20430 23061 32234 38435 46122 48351 69183 76870 80585 96702 115305 138366 145053 161170 230610 241755 290106 345915 483510 545777 691830 725265 1091554 1450530 1637331 1744949 2728885 3274662 3489898 4911993 5234847 5457770 8186655 8724745 9823986 10469694 15704541 16373310 17449490 24559965 26174235 31409082 49119930 52348470 78522705 123891379 157045410 247782758 371674137 619456895 743348274 1115022411 1238913790 1858370685 2230044822 3716741370 5575112055 11150224110