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212002100110220 = 225729132739393383
BaseRepresentation
bin110000001101000010010101…
…110111100110001110001100
31000210122012110212102210222212
4300031002111313212032030
5210241420300112011340
62030520230440125552
762440434450063410
oct6015022567461614
91023565425383885
10212002100110220
11616066496a1032
121b93b5164668b8
13913a934aa7824
143a4cd564bad40
1519799db549a65
hexc0d095de638c

212002100110220 has 96 divisors (see below), whose sum is σ = 526355344972800. Its totient is φ = 70179298447104.

The previous prime is 212002100110219. The next prime is 212002100110237. The reversal of 212002100110220 is 22011001200212.

It is a super-2 number, since 2×2120021001102202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 212002100110195 and 212002100110204.

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, 538723649 + ... + 539117031.

It is an arithmetic number, because the mean of its divisors is an integer number (5482868176800).

Almost surely, 2212002100110220 is an apocalyptic number.

212002100110220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212002100110220 is an abundant number, since it is smaller than the sum of its proper divisors (314353244862580).

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

212002100110220 is a wasteful number, since it uses less digits than its factorization.

212002100110220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526167 (or 526165 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 212002100110220 its reverse (22011001200212), we get a palindrome (234013101310432).

The spelling of 212002100110220 in words is "two hundred twelve trillion, two billion, one hundred million, one hundred ten thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 58 70 116 140 145 203 290 406 580 812 1015 2030 4060 132739 265478 393383 530956 663695 786766 929173 1327390 1573532 1858346 1966915 2654780 2753681 3716692 3849431 3933830 4645865 5507362 7698862 7867660 9291730 11014724 11408107 13768405 15397724 18583460 19247155 22816214 26946017 27536810 38494310 45632428 53892034 55073620 57040535 76988620 79856749 107784068 114081070 134730085 159713498 228162140 269460170 319426996 399283745 538920340 798567490 1597134980 52217266037 104434532074 208869064148 261086330185 365520862259 522172660370 731041724518 1044345320740 1462083449036 1514300715073 1827604311295 3028601430146 3655208622590 6057202860292 7310417245180 7571503575365 10600105005511 15143007150730 21200210011022 30286014301460 42400420022044 53000525027555 106001050055110 212002100110220