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20222211100 = 225271319116959
BaseRepresentation
bin10010110101010101…
…100111010000011100
31221012022122202120111
4102311111213100130
5312403341223400
613142344055404
71314060646450
oct226525472034
957168582514
1020222211100
118637a02563
123b04464564
131ba373a8b0
14d9ba0a660
157d55113ba
hex4b556741c

20222211100 has 144 divisors (see below), whose sum is σ = 56851916800. Its totient is φ = 6063102720.

The previous prime is 20222211083. The next prime is 20222211167. The reversal of 20222211100 is 111222202.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 114421 + ... + 231379.

Almost surely, 220222211100 is an apocalyptic number.

20222211100 is a gapful number since it is divisible by the number (20) 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 20222211100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28425958400).

20222211100 is an abundant number, since it is smaller than the sum of its proper divisors (36629705700).

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

20222211100 is a wasteful number, since it uses less digits than its factorization.

20222211100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117012 (or 117005 counting only the distinct ones).

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

Adding to 20222211100 its reverse (111222202), we get a palindrome (20333433302).

It can be divided in two parts, 2022 and 2211100, that added together give a palindrome (2213122).

The spelling of 20222211100 in words is "twenty billion, two hundred twenty-two million, two hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 7 10 13 14 19 20 25 26 28 35 38 50 52 65 70 76 91 95 100 130 133 140 175 182 190 247 260 266 325 350 364 380 455 475 494 532 650 665 700 910 950 988 1235 1300 1330 1729 1820 1900 2275 2470 2660 3325 3458 4550 4940 6175 6650 6916 8645 9100 12350 13300 17290 24700 34580 43225 86450 116959 172900 233918 467836 584795 818713 1169590 1520467 1637426 2222221 2339180 2923975 3040934 3274852 4093565 4444442 5847950 6081868 7602335 8187130 8888884 10643269 11111105 11695900 15204670 15555547 16374260 20467825 21286538 22222210 28888873 30409340 31111094 38011675 40935650 42573076 44444420 53216345 55555525 57777746 62222188 76023350 77777735 81871300 106432690 111111050 115555492 144444365 152046700 155555470 202222111 212865380 222222100 266081725 288888730 311110940 388888675 404444222 532163450 577777460 722221825 777777350 808888444 1011110555 1064326900 1444443650 1555554700 2022221110 2888887300 4044442220 5055552775 10111105550 20222211100