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11122434440 = 23513119317929
BaseRepresentation
bin10100101101111001…
…01110000110001000
31001201010211012201022
422112330232012020
5140234320400230
65035400212012
7542424063365
oct122674560610
931633735638
1011122434440
114798362687
1221a4a6a008
1310833c4670
1477726146c
154516c61e5
hex296f2e188

11122434440 has 64 divisors (see below), whose sum is σ = 26974609200. Its totient is φ = 4103073792.

The previous prime is 11122434403. The next prime is 11122434457. The reversal of 11122434440 is 4443422111.

It can be written as a sum of positive squares in 8 ways, for example, as 3058753636 + 8063680804 = 55306^2 + 89798^2 .

It is a super-2 number, since 2×111224344402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 611396 + ... + 629324.

Almost surely, 211122434440 is an apocalyptic number.

11122434440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11122434440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13487304600).

11122434440 is an abundant number, since it is smaller than the sum of its proper divisors (15852174760).

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

11122434440 is a wasteful number, since it uses less digits than its factorization.

11122434440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19146 (or 19142 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 11122434440 its reverse (4443422111), we get a palindrome (15565856551).

The spelling of 11122434440 in words is "eleven billion, one hundred twenty-two million, four hundred thirty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 1193 2386 4772 5965 9544 11930 15509 17929 23860 31018 35858 47720 62036 71716 77545 89645 124072 143432 155090 179290 233077 310180 358580 466154 620360 717160 932308 1165385 1864616 2330770 4661540 9323080 21389297 42778594 85557188 106946485 171114376 213892970 278060861 427785940 556121722 855571880 1112243444 1390304305 2224486888 2780608610 5561217220 11122434440