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22011001000110 = 23251136193496457
BaseRepresentation
bin1010000000100110101011…
…11001010101000010101110
32212221020020111122001202100
411000103111321111002232
510341112012224000420
6114451414140435530
74431146060336403
oct500232571250256
985836214561670
1022011001000110
1170168a426a051
122575a67848ba6
13c38822a32a15
145614a3b9c2aa
15282853a4e190
hex1404d5e550ae

22011001000110 has 96 divisors (see below), whose sum is σ = 57828338436960. Its totient is φ = 5808256763904.

The previous prime is 22011001000081. The next prime is 22011001000141. The reversal of 22011001000110 is 1100010011022.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 22011001000092 and 22011001000101.

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, 4547002 + ... + 8043458.

It is an arithmetic number, because the mean of its divisors is an integer number (602378525385).

Almost surely, 222011001000110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22011001000110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28914169218480).

22011001000110 is an abundant number, since it is smaller than the sum of its proper divisors (35817337436850).

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

22011001000110 is a wasteful number, since it uses less digits than its factorization.

22011001000110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3497202 (or 3497199 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 22011001000110 its reverse (1100010011022), we get a palindrome (23111011011132).

The spelling of 22011001000110 in words is "twenty-two trillion, eleven billion, one million, one hundred ten", and thus it is an aban number.

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 113 226 339 565 619 678 1017 1130 1238 1695 1857 2034 3095 3390 3714 5085 5571 6190 9285 10170 11142 18570 27855 55710 69947 139894 209841 349735 419682 629523 699470 1049205 1259046 2098410 3147615 3496457 6295230 6992914 10489371 17482285 20978742 31468113 34964570 52446855 62936226 104893710 157340565 314681130 395099641 790199282 1185298923 1975498205 2164306883 2370597846 3555896769 3950996410 4328613766 5926494615 6492920649 7111793538 10821534415 11852989230 12985841298 17779483845 19478761947 21643068830 32464603245 35558967690 38957523894 64929206490 97393809735 194787619470 244566677779 489133355558 733700033337 1222833388895 1467400066674 2201100100011 2445666777790 3668500166685 4402200200022 7337000333370 11005500500055 22011001000110