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11222120220 = 22354333712907
BaseRepresentation
bin10100111001110001…
…11111011100011100
31001222002101202220020
422130320333130130
5140440330321340
65053320552140
7545044306443
oct123470773434
931862352806
1011222120220
11483965a023
122212322650
13109ac5812c
147865add5a
1545a3179d0
hex29ce3f71c

11222120220 has 96 divisors (see below), whose sum is σ = 32250586368. Its totient is φ = 2914071552.

The previous prime is 11222120183. The next prime is 11222120243. The reversal of 11222120220 is 2202122211.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11222120220.

It is a congruent number.

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, 863007 + ... + 875913.

It is an arithmetic number, because the mean of its divisors is an integer number (335943608).

Almost surely, 211222120220 is an apocalyptic number.

11222120220 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 11222120220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16125293184).

11222120220 is an abundant number, since it is smaller than the sum of its proper divisors (21028466148).

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

11222120220 is a wasteful number, since it uses less digits than its factorization.

11222120220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13299 (or 13297 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 11222120220 its reverse (2202122211), we get a palindrome (13424242431).

The spelling of 11222120220 in words is "eleven billion, two hundred twenty-two million, one hundred twenty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 60 86 129 172 215 258 337 430 516 645 674 860 1011 1290 1348 1685 2022 2580 3370 4044 5055 6740 10110 12907 14491 20220 25814 28982 38721 43473 51628 57964 64535 72455 77442 86946 129070 144910 154884 173892 193605 217365 258140 289820 387210 434730 555001 774420 869460 1110002 1665003 2220004 2775005 3330006 4349659 5550010 6660012 8325015 8699318 11100020 13048977 16650030 17398636 21748295 26097954 33300060 43496590 52195908 65244885 86993180 130489770 187035337 260979540 374070674 561106011 748141348 935176685 1122212022 1870353370 2244424044 2805530055 3740706740 5611060110 11222120220