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11020222120 = 23517127912671
BaseRepresentation
bin10100100001101101…
…10011111010101000
31001110000111021202211
422100312303322220
5140032134101440
65021305334504
7540043225315
oct122066637250
931400437684
1011020222120
11474569aa96
122176797434
131068187bbb
14767855d0c
15447735eea
hex290db3ea8

11020222120 has 64 divisors (see below), whose sum is σ = 26276659200. Its totient is φ = 4145218560.

The previous prime is 11020222061. The next prime is 11020222127. The reversal of 11020222120 is 2122202011.

It is a happy number.

11020222120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 11020222120.

It is not an unprimeable number, because it can be changed into a prime (11020222127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 863385 + ... + 876055.

It is an arithmetic number, because the mean of its divisors is an integer number (410572800).

Almost surely, 211020222120 is an apocalyptic number.

11020222120 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 11020222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13138329600).

11020222120 is an abundant number, since it is smaller than the sum of its proper divisors (15256437080).

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

11020222120 is a wasteful number, since it uses less digits than its factorization.

11020222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13978 (or 13974 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 11020222120 its reverse (2122202011), we get a palindrome (13142424131).

The spelling of 11020222120 in words is "eleven billion, twenty million, two hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 1279 2558 5116 6395 10232 12671 12790 21743 25342 25580 43486 50684 51160 63355 86972 101368 108715 126710 173944 215407 217430 253420 430814 434860 506840 861628 869720 1077035 1723256 2154070 4308140 8616280 16206209 32412418 64824836 81031045 129649672 162062090 275505553 324124180 551011106 648248360 1102022212 1377527765 2204044424 2755055530 5510111060 11020222120