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220111020020 = 2251716726914411
BaseRepresentation
bin1100110011111110100…
…0111001111111110100
3210001010220201100120202
43030333220321333310
512101241410120040
6245041223020032
721621361541303
oct3147750717764
9701126640522
10220111020020
1185391a29201
12367aa89a618
13179aa9c8518
14a92102643a
155ad3d20015
hex333fa39ff4

220111020020 has 96 divisors (see below), whose sum is σ = 494218609920. Its totient is φ = 82057226240.

The previous prime is 220111020007. The next prime is 220111020043. The reversal of 220111020020 is 20020111022.

It is a happy number.

It is a super-2 number, since 2×2201110200202 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 220111019983 and 220111020010.

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, 15266615 + ... + 15281025.

It is an arithmetic number, because the mean of its divisors is an integer number (5148110520).

Almost surely, 2220111020020 is an apocalyptic number.

220111020020 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 220111020020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247109304960).

220111020020 is an abundant number, since it is smaller than the sum of its proper divisors (274107589900).

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

220111020020 is a wasteful number, since it uses less digits than its factorization.

220111020020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14873 (or 14871 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 220111020020 its reverse (20020111022), we get a palindrome (240131131042).

The spelling of 220111020020 in words is "two hundred twenty billion, one hundred eleven million, twenty thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 167 170 269 334 340 538 668 835 1076 1345 1670 2690 2839 3340 4573 5380 5678 9146 11356 14195 14411 18292 22865 28390 28822 44923 45730 56780 57644 72055 89846 91460 144110 179692 224615 244987 288220 449230 489974 763691 898460 979948 1224935 1527382 2406637 2449870 3054764 3818455 3876559 4813274 4899740 7636910 7753118 9626548 12033185 15273820 15506236 19382795 24066370 38765590 40912829 48132740 65901503 77531180 81825658 131803006 163651316 204564145 263606012 329507515 409128290 647385353 659015030 818256580 1294770706 1318030060 2589541412 3236926765 6473853530 11005551001 12947707060 22011102002 44022204004 55027755005 110055510010 220111020020