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210201121112220 = 22335755608762199
BaseRepresentation
bin101111110010110101000011…
…001001111100000010011100
31000120021000211112201101202000
4233302311003021330002130
5210022413344001042340
62023021021214002300
762163346510142640
oct5762650311740234
91016230745641660
10210201121112220
1160a81881a32797
121b6aa4761a6390
139039b5aa99984
1439c9b07aaac20
151947c30aacd30
hexbf2d4327c09c

210201121112220 has 96 divisors (see below), whose sum is σ = 747381763968000. Its totient is φ = 48045970539072.

The previous prime is 210201121112209. The next prime is 210201121112291. The reversal of 210201121112220 is 22211121102012.

210201121112220 is a `hidden beast` number, since 2 + 10 + 201 + 121 + 112 + 220 = 666.

210201121112220 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2102011211122202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 210201121112193 and 210201121112202.

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, 27804377320 + ... + 27804384879.

It is an arithmetic number, because the mean of its divisors is an integer number (7785226708000).

Almost surely, 2210201121112220 is an apocalyptic number.

210201121112220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210201121112220 is an abundant number, since it is smaller than the sum of its proper divisors (537180642855780).

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

210201121112220 is a wasteful number, since it uses less digits than its factorization.

210201121112220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55608762224 (or 55608762216 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 210201121112220 its reverse (22211121102012), we get a palindrome (232412242214232).

The spelling of 210201121112220 in words is "two hundred ten trillion, two hundred one billion, one hundred twenty-one million, one hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 84 90 105 108 126 135 140 180 189 210 252 270 315 378 420 540 630 756 945 1260 1890 3780 55608762199 111217524398 166826286597 222435048796 278043810995 333652573194 389261335393 500478859791 556087621990 667305146388 778522670786 834131432985 1000957719582 1112175243980 1167784006179 1501436579373 1557045341572 1668262865970 1946306676965 2001915439164 2335568012358 2502394298955 3002873158746 3336525731940 3503352018537 3892613353930 4671136024716 5004788597910 5838920030895 6005746317492 7006704037074 7507182896865 7785226707860 10009577195820 10510056055611 11677840061790 14013408074148 15014365793730 17516760092685 21020112111222 23355680123580 30028731587460 35033520185370 42040224222444 52550280278055 70067040370740 105100560556110 210201121112220