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201100221110110 = 257194118611981667
BaseRepresentation
bin101101101110011001001011…
…001111100101011101011110
3222101000222211011202101100111
4231232121023033211131132
5202324311223101010420
61551412055522120234
760234003643411120
oct5556311317453536
9871028734671314
10201100221110110
1159093141165673
121a67a6a11b007a
138829891b02c2a
143793434607210
15183b12916945a
hexb6e64b3e575e

201100221110110 has 128 divisors (see below), whose sum is σ = 446326169103360. Its totient is φ = 63692330572800.

The previous prime is 201100221110101. The next prime is 201100221110189. The reversal of 201100221110110 is 11011122001102.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 100489497 + ... + 102471163.

It is an arithmetic number, because the mean of its divisors is an integer number (3486923196120).

Almost surely, 2201100221110110 is an apocalyptic number.

201100221110110 is an abundant number, since it is smaller than the sum of its proper divisors (245225947993250).

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

201100221110110 is a wasteful number, since it uses less digits than its factorization.

201100221110110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1983602.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 201100221110110 its reverse (11011122001102), we get a palindrome (212111343111212).

The spelling of 201100221110110 in words is "two hundred one trillion, one hundred billion, two hundred twenty-one million, one hundred ten thousand, one hundred ten".

Divisors: 1 2 5 7 10 14 19 35 38 41 70 82 95 133 190 205 266 287 410 574 665 779 1330 1435 1558 1861 2870 3722 3895 5453 7790 9305 10906 13027 18610 26054 27265 35359 54530 65135 70718 76301 130270 152602 176795 247513 353590 381505 495026 534107 763010 1068214 1237565 1449719 1981667 2475130 2670535 2899438 3963334 5341070 7248595 9908335 10148033 13871669 14497190 19816670 20296066 27743338 37651673 50740165 69358345 75303346 81248347 101480330 138716690 162496694 188258365 263561711 376516730 406241735 527123422 568738429 812483470 1137476858 1317808555 1543718593 2635617110 2843692145 3087437186 3687882287 5687384290 7375764574 7718592965 10806030151 15437185930 18439411435 21612060302 25815176009 36878822870 51630352018 54030150755 70069763453 108060301510 129075880045 140139526906 151203173767 258151760090 302406347534 350348817265 490488344171 700697634530 756015868835 980976688342 1058422216369 1512031737670 2116844432738 2452441720855 2872860301573 4904883441710 5292111081845 5745720603146 10584222163690 14364301507865 20110022111011 28728603015730 40220044222022 100550110555055 201100221110110