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221220011301124 = 22111071201246715859
BaseRepresentation
bin110010010011001011001100…
…001100001101100100000100
31002000021102111221121002200111
4302103023030030031210010
5212443432040343113444
62102255023055522404
764411422051315313
oct6223131414154404
91060242457532614
10221220011301124
116453a975205170
1220989b06229404
139658c5a9910a4
143c8b169d9427a
151a89690860234
hexc932cc30d904

221220011301124 has 96 divisors (see below), whose sum is σ = 426830895429120. Its totient is φ = 99485226432000.

The previous prime is 221220011301119. The next prime is 221220011301139. The reversal of 221220011301124 is 421103110022122.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 221220011301095 and 221220011301104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13949169907 + ... + 13949185765.

It is an arithmetic number, because the mean of its divisors is an integer number (4446155160720).

Almost surely, 2221220011301124 is an apocalyptic number.

It is an amenable number.

221220011301124 is a deficient number, since it is larger than the sum of its proper divisors (205610884127996).

221220011301124 is a wasteful number, since it uses less digits than its factorization.

221220011301124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19649 (or 19647 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 221220011301124 its reverse (421103110022122), we get a palindrome (642323121323246).

The spelling of 221220011301124 in words is "two hundred twenty-one trillion, two hundred twenty billion, eleven million, three hundred one thousand, one hundred twenty-four".

Divisors: 1 2 4 11 22 44 107 214 428 1177 1201 2354 2402 2467 4708 4804 4934 9868 13211 15859 26422 27137 31718 52844 54274 63436 108548 128507 174449 257014 263969 348898 514028 527938 697796 1055876 1413577 1696913 2827154 2903659 2962867 3393826 5654308 5807318 5925734 6787652 11614636 11851468 18666043 19046659 32591537 37332086 38093318 39124153 65183074 74664172 76186636 78248306 130366148 156496612 209513249 317026769 419026498 430365683 634053538 838052996 860731366 1268107076 1721462732 2037992513 3487294459 4075985026 4186284371 6974588918 8151970052 8372568742 13949177836 16745137484 22417917643 44835835286 46049128081 46988107753 89671670572 92098256162 93976215506 184196512324 187952431012 516869185283 1033738370566 2067476741132 5027727529571 10055455059142 20110910118284 55305002825281 110610005650562 221220011301124