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211222211110220 = 2251710342114326541
BaseRepresentation
bin110000000001101100000000…
…110111001010010101001100
31000200212122110001200201122002
4300001230000313022111030
5210141131042021011340
62025122051052211432
762330205204003422
oct6001540067122514
91020778401621562
10211222211110220
11613359226902a2
121b834343169b78
1390b22274cb36b
143a232d1093112
151964593aec715
hexc01b00dca54c

211222211110220 has 96 divisors (see below), whose sum is σ = 475345036123776. Its totient is φ = 78559868620800.

The previous prime is 211222211110219. The next prime is 211222211110243. The reversal of 211222211110220 is 22011112222112.

It is a super-2 number, since 2×2112222111102202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 211222211110192 and 211222211110201.

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, 7580150 + ... + 21906690.

It is an arithmetic number, because the mean of its divisors is an integer number (4951510792956).

Almost surely, 2211222211110220 is an apocalyptic number.

211222211110220 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 211222211110220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237672518061888).

211222211110220 is an abundant number, since it is smaller than the sum of its proper divisors (264122825013556).

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

211222211110220 is a wasteful number, since it uses less digits than its factorization.

211222211110220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14327091 (or 14327089 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 211222211110220 its reverse (22011112222112), we get a palindrome (233233323332332).

The spelling of 211222211110220 in words is "two hundred eleven trillion, two hundred twenty-two billion, two hundred eleven million, one hundred ten thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 103 170 206 340 412 421 515 842 1030 1684 1751 2060 2105 3502 4210 7004 7157 8420 8755 14314 17510 28628 35020 35785 43363 71570 86726 143140 173452 216815 433630 737171 867260 1474342 2948684 3685855 7371710 14326541 14743420 28653082 57306164 71632705 143265410 243551197 286530820 487102394 974204788 1217755985 1475633723 2435511970 2951267446 4871023940 5902534892 6031473761 7378168615 12062947522 14756337230 24125895044 25085773291 29512674460 30157368805 50171546582 60314737610 100343093164 102535053937 120629475220 125428866455 205070107874 250857732910 410140215748 501715465820 512675269685 621241797383 1025350539370 1242483594766 2050701078740 2484967189532 3106208986915 6212417973830 10561110555511 12424835947660 21122221111022 42244442222044 52805552777555 105611105555110 211222211110220