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11243110344 = 2331724573547
BaseRepresentation
bin10100111100010010…
…00011111111001000
31002000112220011221020
422132021003333020
5141011214012334
65055350512440
7545420601234
oct123611037710
932015804836
1011243110344
11484a496234
122219365720
1310a23c711b
147892b55c4
1545c0b1e49
hex29e243fc8

11243110344 has 96 divisors (see below), whose sum is σ = 29932205280. Its totient is φ = 3518539776.

The previous prime is 11243110343. The next prime is 11243110367. The reversal of 11243110344 is 44301134211.

11243110344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (11243110343) 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 23 ways as a sum of consecutive naturals, for example, 3167979 + ... + 3171525.

It is an arithmetic number, because the mean of its divisors is an integer number (311793805).

Almost surely, 211243110344 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 11243110344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14966102640).

11243110344 is an abundant number, since it is smaller than the sum of its proper divisors (18689094936).

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

11243110344 is a wasteful number, since it uses less digits than its factorization.

11243110344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4047 (or 4026 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 11243110344 its reverse (44301134211), we get a palindrome (55544244555).

The spelling of 11243110344 in words is "eleven billion, two hundred forty-three million, one hundred ten thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 289 408 457 578 867 914 1156 1371 1734 1828 2312 2742 3468 3547 3656 5484 6936 7094 7769 10641 10968 14188 15538 21282 23307 28376 31076 42564 46614 60299 62152 85128 93228 120598 132073 180897 186456 241196 264146 361794 396219 482392 528292 723588 792438 1025083 1056584 1447176 1584876 1620979 2050166 3075249 3169752 3241958 4100332 4862937 6150498 6483916 8200664 9725874 12300996 12967832 19451748 24601992 27556643 38903496 55113286 82669929 110226572 165339858 220453144 330679716 468462931 661359432 936925862 1405388793 1873851724 2810777586 3747703448 5621555172 11243110344