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11144042002200 = 2335244414182257
BaseRepresentation
bin1010001000101010110010…
…1010100011011100011000
31110110100201110002112200210
42202022230222203130120
52430040444223032300
635411300251331120
72230062515043522
oct242125452433430
943410643075623
1011144042002200
113607186205138
1212bb959150aa0
1362ab56522713
142a753592ca12
15144d3719b050
hexa22acaa3718

11144042002200 has 96 divisors (see below), whose sum is σ = 34554317466960. Its totient is φ = 2971074662400.

The previous prime is 11144042002133. The next prime is 11144042002207. The reversal of 11144042002200 is 220024044111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11144042002207) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 573472 + ... + 4755728.

Almost surely, 211144042002200 is an apocalyptic number.

11144042002200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11144042002200 is an abundant number, since it is smaller than the sum of its proper divisors (23410275464760).

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

11144042002200 is a wasteful number, since it uses less digits than its factorization.

11144042002200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4186717 (or 4186708 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 11144042002200 its reverse (220024044111), we get a palindrome (11364066046311).

The spelling of 11144042002200 in words is "eleven trillion, one hundred forty-four billion, forty-two million, two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 4441 8882 13323 17764 22205 26646 35528 44410 53292 66615 88820 106584 111025 133230 177640 222050 266460 333075 444100 532920 666150 888200 1332300 2664600 4182257 8364514 12546771 16729028 20911285 25093542 33458056 41822570 50187084 62733855 83645140 100374168 104556425 125467710 167290280 209112850 250935420 313669275 418225700 501870840 627338550 836451400 1254677100 2509354200 18573403337 37146806674 55720210011 74293613348 92867016685 111440420022 148587226696 185734033370 222880840044 278601050055 371468066740 445761680088 464335083425 557202100110 742936133480 928670166850 1114404200220 1393005250275 1857340333700 2228808400440 2786010500550 3714680667400 5572021001100 11144042002200