Search a number
-
+
111001001112220 = 225172314887953483
BaseRepresentation
bin11001001111010001101111…
…001111011011001010011100
3112120000120222121201222101111
4121033101233033123022130
5104022120022241042340
61032025053403351404
732244362166551242
oct3117215717331234
9476016877658344
10111001001112220
113240629537955a
12105488a2822564
1349c2470aa649b
141d5a697304792
15cc75cdcc9aea
hex64f46f3db29c

111001001112220 has 96 divisors (see below), whose sum is σ = 257562603906048. Its totient is φ = 39968989074432.

The previous prime is 111001001112191. The next prime is 111001001112241. The reversal of 111001001112220 is 22211100100111.

It is a happy number.

It is a super-3 number, since 3×1110010011122203 (a number of 43 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 111001001112220.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 115939599 + ... + 116893081.

It is an arithmetic number, because the mean of its divisors is an integer number (2682943790688).

Almost surely, 2111001001112220 is an apocalyptic number.

111001001112220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111001001112220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128781301953024).

111001001112220 is an abundant number, since it is smaller than the sum of its proper divisors (146561602793828).

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

111001001112220 is a wasteful number, since it uses less digits than its factorization.

111001001112220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 968419 (or 968417 counting only the distinct ones).

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

Adding to 111001001112220 its reverse (22211100100111), we get a palindrome (133212101212331).

The spelling of 111001001112220 in words is "one hundred eleven trillion, one billion, one million, one hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 23 34 46 68 85 92 115 170 230 340 391 460 782 1564 1955 3910 7820 14887 29774 59548 74435 148870 253079 297740 342401 506158 684802 953483 1012316 1265395 1369604 1712005 1906966 2530790 3424010 3813932 4767415 5061580 5820817 6848020 9534830 11641634 16209211 19069660 21930109 23283268 29104085 32418422 43860218 58208170 64836844 81046055 87720436 109650545 116416340 162092110 219301090 324184220 372811853 438602180 745623706 1491247412 1864059265 3728118530 7456237060 14194501421 28389002842 56778005684 70972507105 141945014210 241306524157 283890028420 326473532683 482613048314 652947065366 965226096628 1206532620785 1305894130732 1632367663415 2413065241570 3264735326830 4826130483140 5550050055611 6529470653660 11100100111222 22200200222444 27750250278055 55500500556110 111001001112220