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11126424120 = 2335721892249
BaseRepresentation
bin10100101110010111…
…11100001000111000
31001201102022220112020
422113023330020320
5140241331032440
65040021514440
7542503021200
oct122713741070
931642286466
1011126424120
11479a638139
1221a6272a20
131084190616
147779bd400
15451c133d0
hex2972fc238

11126424120 has 96 divisors (see below), whose sum is σ = 38828970000. Its totient is φ = 2543181312.

The previous prime is 11126424119. The next prime is 11126424151. The reversal of 11126424120 is 2142462111.

11126424120 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 a congruent number.

It is an unprimeable number.

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, 940245 + ... + 952004.

Almost surely, 211126424120 is an apocalyptic number.

11126424120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11126424120 is an abundant number, since it is smaller than the sum of its proper divisors (27702545880).

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

11126424120 is a wasteful number, since it uses less digits than its factorization.

11126424120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1892277 (or 1892266 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 11126424120 its reverse (2142462111), we get a palindrome (13268886231).

The spelling of 11126424120 in words is "eleven billion, one hundred twenty-six million, four hundred twenty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 49 56 60 70 84 98 105 120 140 147 168 196 210 245 280 294 392 420 490 588 735 840 980 1176 1470 1960 2940 5880 1892249 3784498 5676747 7568996 9461245 11353494 13245743 15137992 18922490 22706988 26491486 28383735 37844980 39737229 45413976 52982972 56767470 66228715 75689960 79474458 92720201 105965944 113534940 132457430 158948916 185440402 198686145 227069880 264914860 278160603 317897832 370880804 397372290 463601005 529829720 556321206 741761608 794744580 927202010 1112642412 1390803015 1589489160 1854404020 2225284824 2781606030 3708808040 5563212060 11126424120