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11010221222120 = 23519312027230551
BaseRepresentation
bin1010000000111000010001…
…0100110010100011101000
31102222120022020200120010122
42200032010110302203220
52420342413113101440
635230005323502412
72214314355141611
oct240160424624350
942876266616118
1011010221222120
11356545493141a
121299a30987a08
1361b34abb9293
142a0c7cc42c08
15141603bb47b5
hexa03845328e8

11010221222120 has 128 divisors (see below), whose sum is σ = 26931424665600. Its totient is φ = 4035694752000.

The previous prime is 11010221222111. The next prime is 11010221222149. The reversal of 11010221222120 is 2122212201011.

It is a super-3 number, since 3×110102212221203 (a number of 40 digits) contains 333 as substring.

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, 47640845 + ... + 47871395.

It is an arithmetic number, because the mean of its divisors is an integer number (210401755200).

Almost surely, 211010221222120 is an apocalyptic number.

11010221222120 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 11010221222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13465712332800).

11010221222120 is an abundant number, since it is smaller than the sum of its proper divisors (15921203443480).

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

11010221222120 is a wasteful number, since it uses less digits than its factorization.

11010221222120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232639 (or 232635 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 11010221222120 its reverse (2122212201011), we get a palindrome (13132433423131).

The spelling of 11010221222120 in words is "eleven trillion, ten billion, two hundred twenty-one million, two hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 31 38 40 62 76 95 124 152 155 190 248 310 380 589 620 760 1178 1240 2027 2356 2945 4054 4712 5890 8108 10135 11780 16216 20270 23560 38513 40540 62837 77026 81080 125674 154052 192565 230551 251348 308104 314185 385130 461102 502696 628370 770260 922204 1152755 1193903 1256740 1540520 1844408 2305510 2387806 2513480 4380469 4611020 4775612 5969515 7147081 8760938 9222040 9551224 11939030 14294162 17521876 21902345 23878060 28588324 35043752 35735405 43804690 47756120 57176648 71470810 87609380 135794539 142941620 175218760 271589078 285883240 467326877 543178156 678972695 934653754 1086356312 1357945390 1869307508 2336634385 2715890780 3738615016 4673268770 5431781560 8879210663 9346537540 14487133187 17758421326 18693075080 28974266374 35516842652 44396053315 57948532748 71033685304 72435665935 88792106630 115897065496 144871331870 177584213260 275255530553 289742663740 355168426520 550511061106 579485327480 1101022122212 1376277652765 2202044244424 2752555305530 5505110611060 11010221222120