Search a number
-
+
11101122004 = 2274310984589
BaseRepresentation
bin10100101011010110…
…11010110111010100
31001122122201102112211
422111223122313110
5140213341401004
65033315323204
7542044660120
oct122553326724
931578642484
1011101122004
1147873262a5
1221998b0504
13107bb71a5b
147744b4580
1544e8b6504
hex295adadd4

11101122004 has 48 divisors (see below), whose sum is σ = 22927273600. Its totient is φ = 4604294016.

The previous prime is 11101121909. The next prime is 11101122013. The reversal of 11101122004 is 40022110111.

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 15 ways as a sum of consecutive naturals, for example, 88942 + ... + 173530.

Almost surely, 211101122004 is an apocalyptic number.

11101122004 is a gapful number since it is divisible by the number (14) 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 11101122004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11463636800).

11101122004 is an abundant number, since it is smaller than the sum of its proper divisors (11826151596).

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

11101122004 is a wasteful number, since it uses less digits than its factorization.

11101122004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84752 (or 84750 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 11101122004 its reverse (40022110111), we get a palindrome (51123232115).

The spelling of 11101122004 in words is "eleven billion, one hundred one million, one hundred twenty-two thousand, four".

Divisors: 1 2 4 7 14 28 43 86 109 172 218 301 436 602 763 1204 1526 3052 4687 9374 18748 32809 65618 84589 131236 169178 338356 592123 1184246 2368492 3637327 7274654 9220201 14549308 18440402 25461289 36880804 50922578 64541407 101845156 129082814 258165628 396468643 792937286 1585874572 2775280501 5550561002 11101122004