Search a number
-
+
111000001021100 = 2252191012412400109
BaseRepresentation
bin11001001111010000110011…
…101000011000010010101100
3112120000111101220220002021122
4121033100303220120102230
5104022111000230133400
61032024410240120112
732244325334120552
oct3117206350302254
9476014356802248
10111000001021100
11324059218a3274
1210548663906038
1349c23418369a9
141d5a600571bd2
15cc75710cb685
hex64f433a184ac

111000001021100 has 144 divisors (see below), whose sum is σ = 257120328141600. Its totient is φ = 41473866240000.

The previous prime is 111000001021097. The next prime is 111000001021127. The reversal of 111000001021100 is 1120100000111.

It is a happy number.

111000001021100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45047846 + ... + 47447954.

Almost surely, 2111000001021100 is an apocalyptic number.

111000001021100 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 111000001021100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128560164070800).

111000001021100 is an abundant number, since it is smaller than the sum of its proper divisors (146120327120500).

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

111000001021100 is a wasteful number, since it uses less digits than its factorization.

111000001021100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2400484 (or 2400477 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 111000001021100 its reverse (1120100000111), we get a palindrome (112120101021211).

The spelling of 111000001021100 in words is "one hundred eleven trillion, one million, twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 101 190 202 241 380 404 475 482 505 950 964 1010 1205 1900 1919 2020 2410 2525 3838 4579 4820 5050 6025 7676 9158 9595 10100 12050 18316 19190 22895 24100 24341 38380 45790 47975 48682 91580 95950 97364 114475 121705 191900 228950 243410 457900 462479 486820 608525 924958 1217050 1849916 2312395 2400109 2434100 4624790 4800218 9249580 9600436 11561975 12000545 23123950 24001090 45602071 46247900 48002180 60002725 91204142 120005450 182408284 228010355 240010900 242411009 456020710 484822018 578426269 912041420 969644036 1140051775 1156852538 1212055045 2280103550 2313705076 2424110090 2892131345 4560207100 4605809171 4848220180 5784262690 6060275225 9211618342 10990099111 11568525380 12120550450 14460656725 18423236684 21980198222 23029045855 24241100900 28921313450 43960396444 46058091710 54950495555 57842626900 58421053169 92116183420 109900991110 115145229275 116842106338 219801982220 230290458550 233684212676 274752477775 292105265845 460580917100 549504955550 584210531690 1099009911100 1110000010211 1168421063380 1460526329225 2220000020422 2921052658450 4440000040844 5550000051055 5842105316900 11100000102110 22200000204220 27750000255275 55500000510550 111000001021100