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11224140424101 = 32112953199370673
BaseRepresentation
bin1010001101010101001011…
…1001110010001110100101
31110202000110122101222011100
42203111102321302032211
52432344014422032401
635512144322430313
72235626443305453
oct243252271621645
943660418358140
1011224140424101
113638149725030
121313391b02399
1363557cb67937
142ab3737a79d3
15146e7410bb86
hexa3552e723a5

11224140424101 has 96 divisors (see below), whose sum is σ = 18735346656000. Its totient is φ = 6411617372160.

The previous prime is 11224140424087. The next prime is 11224140424111. The reversal of 11224140424101 is 10142404142211.

11224140424101 is a `hidden beast` number, since 1 + 1 + 2 + 2 + 414 + 0 + 4 + 241 + 0 + 1 = 666.

11224140424101 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 11224140424101 - 26 = 11224140424037 is a prime.

It is a super-2 number, since 2×112241404241012 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11224140424111) 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, 30095101 + ... + 30465773.

It is an arithmetic number, because the mean of its divisors is an integer number (195159861000).

Almost surely, 211224140424101 is an apocalyptic number.

11224140424101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11224140424101 is a deficient number, since it is larger than the sum of its proper divisors (7511206231899).

11224140424101 is a wasteful number, since it uses less digits than its factorization.

11224140424101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370971 (or 370968 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

Adding to 11224140424101 its reverse (10142404142211), we get a palindrome (21366544566312).

The spelling of 11224140424101 in words is "eleven trillion, two hundred twenty-four billion, one hundred forty million, four hundred twenty-four thousand, one hundred one".

Divisors: 1 3 9 11 29 33 53 87 99 159 199 261 319 477 583 597 957 1537 1749 1791 2189 2871 4611 5247 5771 6567 10547 13833 16907 17313 19701 31641 50721 51939 63481 94923 116017 152163 190443 305863 348051 370673 571329 917589 1044153 1112019 2752767 3336057 3364493 4077403 10093479 10749517 12232209 19645669 30280437 32248551 36696627 58937007 73763927 96745653 118244687 176811021 216102359 221291781 354734061 569724401 648307077 663875343 811403197 1064202183 1709173203 1944921231 2139153883 2434209591 3909488131 5127519609 6266968411 6417461649 7302628773 11728464393 18800905233 19252384947 23530692713 35185393179 43004369441 56402715699 70592078139 113375155799 129013108323 211776234417 340125467397 387039324969 1020376402191 1247126713789 3741380141367 11224140424101