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210212020210101 = 371347139217954091
BaseRepresentation
bin101111110010111111001100…
…110010101100100110110101
31000120022001222010021221021220
4233302333030302230212311
5210023103204133210401
62023030022515300553
762164213553015340
oct5762771462544665
91016261863257256
10210212020210101
1160a864652132a8
121b6b05b82aa759
13903aba6b26010
1439ca45d3d3457
15194816c86a336
hexbf2fcccac9b5

210212020210101 has 128 divisors (see below), whose sum is σ = 355006921113600. Its totient is φ = 107689724778240.

The previous prime is 210212020210097. The next prime is 210212020210103. The reversal of 210212020210101 is 101012020212012.

It is not a de Polignac number, because 210212020210101 - 22 = 210212020210097 is a prime.

It is a super-2 number, since 2×2102120202101012 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210212020210103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3886239066 + ... + 3886293156.

It is an arithmetic number, because the mean of its divisors is an integer number (2773491571200).

Almost surely, 2210212020210101 is an apocalyptic number.

210212020210101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

210212020210101 is a deficient number, since it is larger than the sum of its proper divisors (144794900903499).

210212020210101 is a wasteful number, since it uses less digits than its factorization.

210212020210101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56479.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 210212020210101 its reverse (101012020212012), we get a palindrome (311224040422113).

The spelling of 210212020210101 in words is "two hundred ten trillion, two hundred twelve billion, twenty million, two hundred ten thousand, one hundred one".

Divisors: 1 3 7 13 21 39 47 91 139 141 273 329 417 611 973 987 1807 1833 2179 2919 4277 5421 6533 6537 12649 12831 15253 19599 28327 37947 45731 45759 54091 84929 84981 102413 137193 162273 198289 254787 302881 307239 378637 594503 594867 703183 716891 908643 1135911 1331369 1783509 2109549 2120167 2150673 2542277 3937453 3994107 4922281 6360501 7518649 7626831 9319583 11812359 14235407 14766843 17795939 22555947 27562171 27958749 33049601 42706221 52630543 53387817 82686513 97742437 99148803 99647849 117864289 157891629 185060291 231347207 293227311 298943547 353376503 353592867 555180873 684197059 694041621 825050023 1060129509 1295422037 1532235757 2052591177 2473635521 2475150069 3886266111 4593894539 4596707271 5539621583 7420906563 10725650299 13781683617 16383136171 16618864749 32157261773 32176950897 38777351081 49149408513 72015080579 96471785319 114681953197 116332053243 212980770223 216045241737 344045859591 504105564053 638942310669 770007400037 1490865391561 1512316692159 2310022200111 4472596174683 5390051800259 10010096200481 16170155400777 30030288601443 70070673403367 210212020210101