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11143404252 = 2234149230827
BaseRepresentation
bin10100110000011001…
…01101101011011100
31001202121021120220000
422120030231223130
5140310202414002
65041425454300
7543100242021
oct123014555334
931677246800
1011143404252
1147a9185602
1221abaa1390
131087857336
14779d5d548
1545346961c
hex29832dadc

11143404252 has 60 divisors (see below), whose sum is σ = 29326697400. Its totient is φ = 3689522784.

The previous prime is 11143404247. The next prime is 11143404257. The reversal of 11143404252 is 25240434111.

11143404252 is a `hidden beast` number, since 1 + 1 + 1 + 4 + 3 + 404 + 252 = 666.

11143404252 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11143404247) and next prime (11143404257).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11143404257) 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 19 ways as a sum of consecutive naturals, for example, 67138 + ... + 163689.

It is an arithmetic number, because the mean of its divisors is an integer number (488778290).

Almost surely, 211143404252 is an apocalyptic number.

11143404252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11143404252 is an abundant number, since it is smaller than the sum of its proper divisors (18183293148).

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

11143404252 is a wasteful number, since it uses less digits than its factorization.

11143404252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230992 (or 230981 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 11143404252 its reverse (25240434111), we get a palindrome (36383838363).

The spelling of 11143404252 in words is "eleven billion, one hundred forty-three million, four hundred four thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 149 162 298 324 447 596 894 1341 1788 2682 4023 5364 8046 12069 16092 24138 48276 230827 461654 692481 923308 1384962 2077443 2769924 4154886 6232329 8309772 12464658 18696987 24929316 34393223 37393974 68786446 74787948 103179669 137572892 206359338 309539007 412718676 619078014 928617021 1238156028 1857234042 2785851063 3714468084 5571702126 11143404252