Search a number
-
+
11011021201110 = 235724124455973
BaseRepresentation
bin1010000000111011010000…
…0000011101111011010110
31102222122100222222201000010
42200032310000131323112
52420401032411413420
635230220542101050
72214343240640100
oct240166400357326
942878328881003
1011011021201110
113565825458487
12129a01487a786
1361b447862728
142a0d171a4570
1514164e0354e0
hexa03b401ded6

11011021201110 has 144 divisors (see below), whose sum is σ = 31509047701008. Its totient is φ = 2455418810880.

The previous prime is 11011021201099. The next prime is 11011021201181. The reversal of 11011021201110 is 1110212011011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 243084 + ... + 4699056.

It is an arithmetic number, because the mean of its divisors is an integer number (218812831257).

Almost surely, 211011021201110 is an apocalyptic number.

11011021201110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11011021201110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15754523850504).

11011021201110 is an abundant number, since it is smaller than the sum of its proper divisors (20498026499898).

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

11011021201110 is a wasteful number, since it uses less digits than its factorization.

11011021201110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4456079 (or 4456031 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 11011021201110 its reverse (1110212011011), we get a palindrome (12121233212121).

The spelling of 11011021201110 in words is "eleven trillion, eleven billion, twenty-one million, two hundred one thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 41 42 49 70 82 98 105 123 147 205 210 245 246 287 294 410 490 574 615 735 861 1230 1435 1470 1681 1722 2009 2870 3362 4018 4305 5043 6027 8405 8610 10045 10086 11767 12054 16810 20090 23534 25215 30135 35301 50430 58835 60270 70602 82369 117670 164738 176505 247107 353010 411845 494214 823690 1235535 2471070 4455973 8911946 13367919 22279865 26735838 31191811 44559730 62383622 66839595 93575433 133679190 155959055 182694893 187150866 218342677 311918110 365389786 436685354 467877165 548084679 655028031 913474465 935754330 1091713385 1096169358 1278864251 1310056062 1826948930 2183426770 2557728502 2740423395 3275140155 3836592753 5480846790 6394321255 6550280310 7490490613 7673185506 8952049757 12788642510 14980981226 17904099514 19182963765 22471471839 26856149271 37452453065 38365927530 44760248785 44942943678 52433434291 53712298542 74904906130 89520497570 104866868582 112357359195 134280746355 157300302873 224714718390 262167171455 268561492710 314600605746 367034040037 524334342910 734068080074 786501514365 1101102120111 1573003028730 1835170200185 2202204240222 3670340400370 5505510600555 11011021201110