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11242133024100 = 22352113406706977
BaseRepresentation
bin1010001110011000001101…
…0110000110110101100100
31110210201220120122202021220
42203212003112012311210
52433142342023232400
635524321542340340
72240134352010306
oct243460326066544
943721816582256
1011242133024100
113644842012790
12131697372a6b0
136371896a6c04
142ac19d229976
15147678a027a0
hexa3983586d64

11242133024100 has 72 divisors (see below), whose sum is σ = 35484259882848. Its totient is φ = 2725365580800.

The previous prime is 11242133024099. The next prime is 11242133024131. The reversal of 11242133024100 is 142033124211.

It is a super-2 number, since 2×112421330241002 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1703350189 + ... + 1703356788.

Almost surely, 211242133024100 is an apocalyptic number.

11242133024100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11242133024100 is an abundant number, since it is smaller than the sum of its proper divisors (24242126858748).

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

11242133024100 is a wasteful number, since it uses less digits than its factorization.

11242133024100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3406707005 (or 3406706998 counting only the distinct ones).

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

Adding to 11242133024100 its reverse (142033124211), we get a palindrome (11384166148311).

The spelling of 11242133024100 in words is "eleven trillion, two hundred forty-two billion, one hundred thirty-three million, twenty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 3406706977 6813413954 10220120931 13626827908 17033534885 20440241862 34067069770 37473776747 40880483724 51100604655 68134139540 74947553494 85167674425 102201209310 112421330241 149895106988 170335348850 187368883735 204402418620 224842660482 255503023275 340670697700 374737767470 449685320964 511006046550 562106651205 749475534940 936844418675 1022012093100 1124213302410 1873688837350 2248426604820 2810533256025 3747377674700 5621066512050 11242133024100