Search a number
-
+
11102212330110 = 23251123173216047
BaseRepresentation
bin1010000110001110111101…
…1011000001001001111110
31110022100202021012000221100
42201203233123001021332
52423344312324030420
635340141432313530
72224052112513666
oct241435733011176
943270667160840
1011102212330110
1135a0470476400
1212b38245428a6
13626c1b391465
142a54c83631a6
15143bd9c49190
hexa18ef6c127e

11102212330110 has 144 divisors (see below), whose sum is σ = 31828570982208. Its totient is φ = 2682954215040.

The previous prime is 11102212330063. The next prime is 11102212330177. The reversal of 11102212330110 is 1103321220111.

11102212330110 is a `hidden beast` number, since 1 + 1 + 1 + 0 + 221 + 2 + 330 + 110 = 666.

It is a super-2 number, since 2×111022123301102 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1844107 + ... + 5060153.

It is an arithmetic number, because the mean of its divisors is an integer number (221031742932).

Almost surely, 211102212330110 is an apocalyptic number.

11102212330110 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 11102212330110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15914285491104).

11102212330110 is an abundant number, since it is smaller than the sum of its proper divisors (20726358652098).

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

11102212330110 is a wasteful number, since it uses less digits than its factorization.

11102212330110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3216399 (or 3216385 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 11102212330110 its reverse (1103321220111), we get a palindrome (12205533550221).

The spelling of 11102212330110 in words is "eleven trillion, one hundred two billion, two hundred twelve million, three hundred thirty thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 121 165 198 242 317 330 363 495 605 634 726 951 990 1089 1210 1585 1815 1902 2178 2853 3170 3487 3630 4755 5445 5706 6974 9510 10461 10890 14265 17435 20922 28530 31383 34870 38357 52305 62766 76714 104610 115071 156915 191785 230142 313830 345213 383570 575355 690426 1150710 1726065 3216047 3452130 6432094 9648141 16080235 19296282 28944423 32160470 35376517 48240705 57888846 70753034 96481410 106129551 144722115 176882585 212259102 289444230 318388653 353765170 389141687 530647755 636777306 778283374 1019486899 1061295510 1167425061 1591943265 1945708435 2038973798 2334850122 3058460697 3183886530 3502275183 3891416870 5097434495 5837125305 6116921394 7004550366 9175382091 10194868990 11214355889 11674250610 15292303485 17511375915 18350764182 22428711778 30584606970 33643067667 35022751830 45876910455 56071779445 67286135334 91753820910 100929203001 112143558890 123357914779 168215338335 201858406002 246715829558 336430676670 370073744337 504646015005 616789573895 740147488674 1009292030010 1110221233011 1233579147790 1850368721685 2220442466022 3700737443370 5551106165055 11102212330110