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21202100210211 = 341273223271953
BaseRepresentation
bin1001101001000011111111…
…01001101100101000100011
32210001220022211002100102120
410310201333221230220203
510234333400123211321
6113032035501315323
74315541544145524
oct464417751545043
983056284070376
1021202100210211
11683483a916148
122465138565b43
13baa470a3117b
1453428968884b
1526b7ae12aec6
hex13487fa6ca23

21202100210211 has 96 divisors (see below), whose sum is σ = 29644374122496. Its totient is φ = 13475969740800.

The previous prime is 21202100210189. The next prime is 21202100210237. The reversal of 21202100210211 is 11201200120212.

It is not a de Polignac number, because 21202100210211 - 210 = 21202100209187 is a prime.

It is not an unprimeable number, because it can be changed into a prime (21202100610211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22247743711 + ... + 22247744663.

It is an arithmetic number, because the mean of its divisors is an integer number (308795563776).

Almost surely, 221202100210211 is an apocalyptic number.

21202100210211 is a deficient number, since it is larger than the sum of its proper divisors (8442273912285).

21202100210211 is a wasteful number, since it uses less digits than its factorization.

21202100210211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1605 (or 1564 counting only the distinct ones).

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

Adding to 21202100210211 its reverse (11201200120212), we get a palindrome (32403300330423).

The spelling of 21202100210211 in words is "twenty-one trillion, two hundred two billion, one hundred million, two hundred ten thousand, two hundred eleven".

Divisors: 1 3 41 73 123 219 223 271 669 813 953 1681 2859 2993 5043 8979 9143 11111 16279 19783 27429 33333 39073 48837 59349 60433 69569 117219 122713 181299 208707 212519 258263 368139 374863 455551 637557 667439 774789 811103 1124589 1366653 1601993 2002317 2433309 2477753 2852329 4411609 4805979 7433259 8556987 8713279 10588783 13234827 15513887 18853199 26139837 27364999 31766349 33255223 46541661 56559597 57592649 82094997 99765669 101587873 116945489 172777947 180875969 304763619 350836467 357244439 434140103 542627907 636069367 772981159 1071733317 1302420309 1908208101 2318943477 2361298609 4204263377 7083895827 7415914729 12612790131 22247744187 26078844047 31692227519 78236532141 95076682557 96813242969 172374798457 290439728907 517124395371 7067366736737 21202100210211