Search a number
-
+
110002101221100 = 2235211311075289357
BaseRepresentation
bin11001000000101111011100…
…001010101111011011101100
3112102111002122120100212120210
4121000233130022233123230
5103404233300403033400
61025542133452142420
732112250420560564
oct3100573412573354
9472432576325523
10110002101221100
11320606a1432760
1210407189167a10
13494c1cc6c905a
141d241b7027da4
15cab618e1b950
hex640bdc2af6ec

110002101221100 has 144 divisors (see below), whose sum is σ = 358406846493696. Its totient is φ = 25806944544000.

The previous prime is 110002101221057. The next prime is 110002101221119. The reversal of 110002101221100 is 1122101200011.

It is a super-2 number, since 2×1100021012211002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 537542379 + ... + 537746978.

It is an arithmetic number, because the mean of its divisors is an integer number (2488936433984).

Almost surely, 2110002101221100 is an apocalyptic number.

110002101221100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110002101221100 is an abundant number, since it is smaller than the sum of its proper divisors (248404745272596).

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

110002101221100 is a wasteful number, since it uses less digits than its factorization.

110002101221100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1075289416 (or 1075289409 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 110002101221100 its reverse (1122101200011), we get a palindrome (111124202421111).

The spelling of 110002101221100 in words is "one hundred ten trillion, two billion, one hundred one million, two hundred twenty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 31 33 44 50 55 60 62 66 75 93 100 110 124 132 150 155 165 186 220 275 300 310 330 341 372 465 550 620 660 682 775 825 930 1023 1100 1364 1550 1650 1705 1860 2046 2325 3100 3300 3410 4092 4650 5115 6820 8525 9300 10230 17050 20460 25575 34100 51150 102300 1075289357 2150578714 3225868071 4301157428 5376446785 6451736142 10752893570 11828182927 12903472284 16129340355 21505787140 23656365854 26882233925 32258680710 33333970067 35484548781 47312731708 53764467850 59140914635 64517361420 66667940134 70969097562 80646701775 100001910201 107528935700 118281829270 133335880268 141938195124 161293403550 166669850335 177422743905 200003820402 236563658540 295704573175 322586807100 333339700670 354845487810 366673670737 400007640804 500009551005 591409146350 666679401340 709690975620 733347341474 833349251675 887113719525 1000019102010 1100021012211 1182818292700 1466694682948 1666698503350 1774227439050 1833368353685 2000038204020 2200042024422 2500047755025 3333397006700 3548454878100 3666736707370 4400084048844 5000095510050 5500105061055 7333473414740 9166841768425 10000191020100 11000210122110 18333683536850 22000420244220 27500525305275 36667367073700 55001050610550 110002101221100