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11110022221221 = 32711109335943787
BaseRepresentation
bin1010000110101100000011…
…1011011000110110100101
31110100002220112212121110200
42201223000323120312211
52424011311142034341
635343512421341113
72224446464503560
oct241530073306645
943302815777420
1011110022221221
1135a38089a7170
1212b5243b67799
136278944013c1
142a5a296a14d7
15143ee56e0db6
hexa1ac0ed8da5

11110022221221 has 96 divisors (see below), whose sum is σ = 20197687910400. Its totient is φ = 5716658125440.

The previous prime is 11110022221201. The next prime is 11110022221229. The reversal of 11110022221221 is 12212222001111.

11110022221221 is a `hidden beast` number, since 111 + 100 + 222 + 212 + 21 = 666.

It is not a de Polignac number, because 11110022221221 - 210 = 11110022220197 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11110022221194 and 11110022221203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11110022221229) 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, 253706890 + ... + 253750676.

It is an arithmetic number, because the mean of its divisors is an integer number (210392582400).

Almost surely, 211110022221221 is an apocalyptic number.

11110022221221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11110022221221 is a deficient number, since it is larger than the sum of its proper divisors (9087665689179).

11110022221221 is a wasteful number, since it uses less digits than its factorization.

11110022221221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47279 (or 47276 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 11110022221221 its reverse (12212222001111), we get a palindrome (23322244222332).

The spelling of 11110022221221 in words is "eleven trillion, one hundred ten billion, twenty-two million, two hundred twenty-one thousand, two hundred twenty-one".

Divisors: 1 3 7 9 11 21 33 63 77 99 109 231 327 693 763 981 1199 2289 3359 3597 6867 8393 10077 10791 23513 25179 30231 36949 43787 70539 75537 110847 131361 211617 258643 306509 332541 366131 394083 481657 775929 919527 1098393 1444971 2327787 2562917 2758581 3295179 3371599 4027441 4334913 4772783 7688751 10114797 12082323 14318349 23066253 28192087 30344391 33409481 36246969 42955047 52500613 84576261 100228443 147080533 157501839 253728783 300685329 367504291 441241599 472505517 1029563731 1102512873 1323724797 1617885863 3088691193 3307538619 4853657589 9266073579 11325201041 14560972767 16031778097 33975603123 48095334291 101926809369 112222446679 144286002873 176349559067 336667340037 529048677201 1010002020111 1234446913469 1587146031603 3703340740407 11110022221221