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11224000442025 = 335273911360733
BaseRepresentation
bin1010001101010100101010…
…0011110010111010101001
31110202000002220000010212000
42203111022203302322221
52432343223103121100
635512122402241213
72235623123421450
oct243251243627251
943660086003760
1011224000442025
113638087705468
121313353056209
13635559b657c7
142ab35cd69b97
15146e66baa900
hexa354a8f2ea9

11224000442025 has 96 divisors (see below), whose sum is σ = 23565452785920. Its totient is φ = 5130755965440.

The previous prime is 11224000441987. The next prime is 11224000442027. The reversal of 11224000442025 is 52024400042211.

It is a happy number.

11224000442025 is a `hidden beast` number, since 1 + 12 + 2 + 400 + 0 + 44 + 202 + 5 = 666.

11224000442025 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11224000442025 - 26 = 11224000441961 is a prime.

It is a super-2 number, since 2×112240004420252 (a number of 27 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 11224000442025.

It is not an unprimeable number, because it can be changed into a prime (11224000442027) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 184778559 + ... + 184839291.

It is an arithmetic number, because the mean of its divisors is an integer number (245473466520).

Almost surely, 211224000442025 is an apocalyptic number.

11224000442025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11224000442025 is an abundant number, since it is smaller than the sum of its proper divisors (12341452343895).

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

11224000442025 is a wasteful number, since it uses less digits than its factorization.

11224000442025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99872 (or 99861 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 11224000442025 its reverse (52024400042211), we get a palindrome (63248400484236).

The spelling of 11224000442025 in words is "eleven trillion, two hundred twenty-four billion, four hundred forty-two thousand, twenty-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 63 75 105 135 175 189 225 315 525 675 945 1575 4725 39113 60733 117339 182199 195565 273791 303665 352017 425131 546597 586695 821373 910995 977825 1056051 1275393 1368955 1518325 1639791 1760085 2125655 2464119 2732985 2933475 3826179 4106865 4554975 5280255 6376965 6844775 7392357 8198955 8800425 10628275 11478537 12320595 13664925 19130895 20534325 26401275 31884825 36961785 40994775 57392685 61602975 95654475 184808925 286963425 2375449829 7126349487 11877249145 16628148803 21379048461 35631747435 49884446409 59386245725 64137145383 83140744015 106895242305 149653339227 178158737175 249422232045 320685726915 415703720075 448960017681 534476211525 748266696135 1247111160225 1603428634575 2244800088405 3741333480675 11224000442025