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221220011111122 = 217712129367311719
BaseRepresentation
bin110010010011001011001100…
…001011011111001011010010
31002000021102111221020110001101
4302103023030023133023102
5212443432040321023442
62102255023051455014
764411422046564342
oct6223131413371322
91060242457213041
10221220011111122
116453a975095441
1220989b0615746a
139658c5a92576a
143c8b169d44d22
151a89690823cb7
hexc932cc2df2d2

221220011111122 has 64 divisors (see below), whose sum is σ = 356592843763200. Its totient is φ = 102552396226560.

The previous prime is 221220011111101. The next prime is 221220011111129. The reversal of 221220011111122 is 221111110022122.

It is a happy number.

221220011111122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2212200111111222 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 221220011111122.

It is not an unprimeable number, because it can be changed into a prime (221220011111129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18877032379 + ... + 18877044097.

It is an arithmetic number, because the mean of its divisors is an integer number (5571763183800).

Almost surely, 2221220011111122 is an apocalyptic number.

221220011111122 is a deficient number, since it is larger than the sum of its proper divisors (135372832652078).

221220011111122 is a wasteful number, since it uses less digits than its factorization.

221220011111122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17611.

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 221220011111122 its reverse (221111110022122), we get a palindrome (442331121133244).

The spelling of 221220011111122 in words is "two hundred twenty-one trillion, two hundred twenty billion, eleven million, one hundred eleven thousand, one hundred twenty-two".

Divisors: 1 2 17 34 71 142 1207 2129 2414 3673 4258 7346 11719 23438 36193 62441 72386 124882 151159 199223 260783 302318 398446 521566 832049 1664098 2569703 4433311 5139406 7819817 8866622 14144833 15639634 24949751 28289666 43043887 49899502 86087774 132936889 265873778 424145767 555207007 731746079 848291534 1110414014 1463492158 1771432321 3056115977 3542864642 6112231954 9438519119 18877038238 30114349457 51953971609 60228698914 91640435423 103907943218 183280870846 1557887402191 3115774804382 6506470915033 13012941830066 110610005555561 221220011111122