Search a number
-
+
11110202120220 = 2235724679807647
BaseRepresentation
bin1010000110101100101110…
…1001101001100000011100
31110100010101002101102111120
42201223023221221200130
52424012143220321340
635343542325250540
72224454110561500
oct241531351514034
943303332342446
1011110202120220
1135a38a04aaa25
1212b5294263a50
136278c276b308
142a5a45530300
151440063c94d0
hexa1acba6981c

11110202120220 has 144 divisors (see below), whose sum is σ = 36195294320640. Its totient is φ = 2538928887936.

The previous prime is 11110202120219. The next prime is 11110202120239. The reversal of 11110202120220 is 2202120201111.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11110202120220.

It is a congruent number.

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, 13352437 + ... + 14160083.

It is an arithmetic number, because the mean of its divisors is an integer number (251356210560).

Almost surely, 211110202120220 is an apocalyptic number.

11110202120220 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 11110202120220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18097647160320).

11110202120220 is an abundant number, since it is smaller than the sum of its proper divisors (25085092200420).

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

11110202120220 is a wasteful number, since it uses less digits than its factorization.

11110202120220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 812352 (or 812343 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 11110202120220 its reverse (2202120201111), we get a palindrome (13312322321331).

The spelling of 11110202120220 in words is "eleven trillion, one hundred ten billion, two hundred two million, one hundred twenty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 420 490 588 735 980 1470 2940 4679 9358 14037 18716 23395 28074 32753 46790 56148 65506 70185 93580 98259 131012 140370 163765 196518 229271 280740 327530 393036 458542 491295 655060 687813 807647 917084 982590 1146355 1375626 1615294 1965180 2292710 2422941 2751252 3230588 3439065 4038235 4585420 4845882 5653529 6878130 8076470 9691764 11307058 12114705 13756260 16152940 16960587 22614116 24229410 28267645 33921174 39574703 48458820 56535290 67842348 79149406 84802935 113070580 118724109 158298812 169605870 197873515 237448218 339211740 395747030 474896436 593620545 791494060 1187241090 2374482180 3778980313 7557960626 11336940939 15115921252 18894901565 22673881878 26452862191 37789803130 45347763756 52905724382 56684704695 75579606260 79358586573 105811448764 113369409390 132264310955 158717173146 185170035337 226738818780 264528621910 317434346292 370340070674 396792932865 529057243820 555510106011 740680141348 793585865730 925850176685 1111020212022 1587171731460 1851700353370 2222040424044 2777550530055 3703400706740 5555101060110 11110202120220