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11113223004 = 22371327517
BaseRepresentation
bin10100101100110011…
…00101001101011100
31001200111111020000000
422112121211031130
5140224441114004
65034430534300
7542252560032
oct122631451534
931614436000
1011113223004
114793140a24
1221a1967390
13108151aa00
14775d44552
154509a6c39
hex29666535c

11113223004 has 144 divisors (see below), whose sum is σ = 31588230240. Its totient is φ = 3418998336.

The previous prime is 11113223003. The next prime is 11113223057. The reversal of 11113223004 is 40032231111.

11113223004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×111132230043 (a number of 31 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11113223003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1474654 + ... + 1482170.

It is an arithmetic number, because the mean of its divisors is an integer number (219362710).

Almost surely, 211113223004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11113223004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15794115120).

11113223004 is an abundant number, since it is smaller than the sum of its proper divisors (20475007236).

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

11113223004 is an equidigital number, since it uses as much as digits as its factorization.

11113223004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7568 (or 7535 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11113223004 its reverse (40032231111), we get a palindrome (51145454115).

The spelling of 11113223004 in words is "eleven billion, one hundred thirteen million, two hundred twenty-three thousand, four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 169 234 243 324 338 351 468 486 507 676 702 729 972 1014 1053 1404 1458 1521 2028 2106 2187 2916 3042 3159 4212 4374 4563 6084 6318 7517 8748 9126 9477 12636 13689 15034 18252 18954 22551 27378 28431 30068 37908 41067 45102 54756 56862 67653 82134 90204 97721 113724 123201 135306 164268 195442 202959 246402 270612 293163 369603 390884 405918 492804 586326 608877 739206 811836 879489 1172652 1217754 1270373 1478412 1758978 1826631 2435508 2540746 2638467 3517956 3653262 3811119 5081492 5276934 5479893 7306524 7622238 7915401 10553868 10959786 11433357 15244476 15830802 16439679 21919572 22866714 23746203 31661604 32879358 34300071 45733428 47492406 65758716 68600142 71238609 94984812 102900213 137200284 142477218 205800426 213715827 284954436 308700639 411600852 427431654 617401278 854863308 926101917 1234802556 1852203834 2778305751 3704407668 5556611502 11113223004