Search a number
-
+
11341145112 = 23311212173209
BaseRepresentation
bin10101000111111110…
…00010010000011000
31002021101100212100120
422203333002100120
5141211313120422
65113212033240
7551021100003
oct124377022030
932241325316
1011341145112
11489a865200
122246162820
1310b980026b
1479831453a
154659c945c
hex2a3fc2418

11341145112 has 96 divisors (see below), whose sum is σ = 31200044400. Its totient is φ = 3432816640.

The previous prime is 11341145089. The next prime is 11341145113. The reversal of 11341145112 is 21154114311.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11341145113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3532564 + ... + 3535772.

Almost surely, 211341145112 is an apocalyptic number.

11341145112 is a gapful number since it is divisible by the number (12) 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 11341145112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15600022200).

11341145112 is an abundant number, since it is smaller than the sum of its proper divisors (19858899288).

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

11341145112 is a wasteful number, since it uses less digits than its factorization.

11341145112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4457 (or 4442 counting only the distinct ones).

The product of its digits is 480, while the sum is 24.

Adding to 11341145112 its reverse (21154114311), we get a palindrome (32495259423).

The spelling of 11341145112 in words is "eleven billion, three hundred forty-one million, one hundred forty-five thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 121 132 242 264 363 484 726 968 1217 1452 2434 2904 3209 3651 4868 6418 7302 9627 9736 12836 13387 14604 19254 25672 26774 29208 35299 38508 40161 53548 70598 77016 80322 105897 107096 141196 147257 160644 211794 282392 294514 321288 388289 423588 441771 589028 776578 847176 883542 1164867 1178056 1553156 1767084 2329734 3106312 3534168 3905353 4659468 7810706 9318936 11716059 15621412 23432118 31242824 42958883 46864236 85917766 93728472 128876649 171835532 257753298 343671064 472547713 515506596 945095426 1031013192 1417643139 1890190852 2835286278 3780381704 5670572556 11341145112