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211222111010020 = 225118914937225483
BaseRepresentation
bin110000000001101011111010…
…111001010011110011100100
31000200212122012002100002222021
4300001223322321103303210
5210141130340404310040
62025122033114512524
762330202550113205
oct6001537271236344
91020778162302867
10211222111010020
1161335881130560
121b834315735744
1390b220c851086
143a232c1a775ac
151964589e2824a
hexc01afae53ce4

211222111010020 has 96 divisors (see below), whose sum is σ = 489655443634560. Its totient is φ = 75894150773760.

The previous prime is 211222111009997. The next prime is 211222111010051. The reversal of 211222111010020 is 20010111222112.

211222111010020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2112221110100202 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211222111009976 and 211222111010003.

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, 25620199 + ... + 32845681.

It is an arithmetic number, because the mean of its divisors is an integer number (5100577537860).

Almost surely, 2211222111010020 is an apocalyptic number.

211222111010020 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 211222111010020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244827721817280).

211222111010020 is an abundant number, since it is smaller than the sum of its proper divisors (278433332624540).

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

211222111010020 is a wasteful number, since it uses less digits than its factorization.

211222111010020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7227085 (or 7227083 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 211222111010020 its reverse (20010111222112), we get a palindrome (231232222232132).

The spelling of 211222111010020 in words is "two hundred eleven trillion, two hundred twenty-two billion, one hundred eleven million, ten thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 89 110 178 220 356 445 890 979 1493 1780 1958 2986 3916 4895 5972 7465 9790 14930 16423 19580 29860 32846 65692 82115 132877 164230 265754 328460 531508 664385 1328770 1461647 2657540 2923294 5846588 7225483 7308235 14450966 14616470 28901932 29232940 36127415 72254830 79480313 144509660 158960626 317921252 397401565 643067987 794803130 1286135974 1589606260 2572271948 3215339935 6430679870 7073747857 10787646119 12861359740 14147495714 21575292238 28294991428 35368739285 43150584476 53938230595 70737478570 107876461190 118664107309 141474957140 215752922380 237328214618 474656429236 593320536545 960100504591 1186641073090 1920201009182 2373282146180 3840402018364 4800502522955 9601005045910 10561105550501 19202010091820 21122211101002 42244422202004 52805527752505 105611055505010 211222111010020