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11220212022200 = 23521071393772007
BaseRepresentation
bin1010001101000110100011…
…0000000111101110111000
31110201122022212102110211122
42203101220300013232320
52432312443234202300
635510254431244412
72235430212402626
oct243215060075670
943648285373748
1011220212022200
1136365131a3595
121312676379708
136350a502427c
142ab0bdb70516
15146ce42cac85
hexa3468c07bb8

11220212022200 has 96 divisors (see below), whose sum is σ = 26520233846400. Its totient is φ = 4414152301440.

The previous prime is 11220212022163. The next prime is 11220212022247. The reversal of 11220212022200 is 222021202211.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1088597 + ... + 4860603.

It is an arithmetic number, because the mean of its divisors is an integer number (276252435900).

Almost surely, 211220212022200 is an apocalyptic number.

11220212022200 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 11220212022200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13260116923200).

11220212022200 is an abundant number, since it is smaller than the sum of its proper divisors (15300021824200).

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

11220212022200 is a wasteful number, since it uses less digits than its factorization.

11220212022200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3772269 (or 3772260 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 11220212022200 its reverse (222021202211), we get a palindrome (11442233224411).

The spelling of 11220212022200 in words is "eleven trillion, two hundred twenty billion, two hundred twelve million, twenty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 107 139 200 214 278 428 535 556 695 856 1070 1112 1390 2140 2675 2780 3475 4280 5350 5560 6950 10700 13900 14873 21400 27800 29746 59492 74365 118984 148730 297460 371825 594920 743650 1487300 2974600 3772007 7544014 15088028 18860035 30176056 37720070 75440140 94300175 150880280 188600350 377200700 403604749 524308973 754401400 807209498 1048617946 1614418996 2018023745 2097235892 2621544865 3228837992 4036047490 4194471784 5243089730 8072094980 10090118725 10486179460 13107724325 16144189960 20180237450 20972358920 26215448650 40360474900 52430897300 56101060111 80720949800 104861794600 112202120222 224404240444 280505300555 448808480888 561010601110 1122021202220 1402526502775 2244042404440 2805053005550 5610106011100 11220212022200