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210002020221 = 37172107331977
BaseRepresentation
bin1100001110010100011…
…0001000011101111101
3202002001101211221211210
43003211012020131331
511420041004121341
6240250144035033
721113021501550
oct3034506103575
9662041757753
10210002020221
1181074736014
1234849302a79
1316a59566036
14a24260c697
1556e15d0c16
hex30e518877d

210002020221 has 96 divisors (see below), whose sum is σ = 344499858432. Its totient is φ = 111434526720.

The previous prime is 210002020169. The next prime is 210002020253. The reversal of 210002020221 is 122020200012.

210002020221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 210002020221 - 27 = 210002020093 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 210002020197 and 210002020206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210002010221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 214945285 + ... + 214946261.

It is an arithmetic number, because the mean of its divisors is an integer number (3588540192).

Almost surely, 2210002020221 is an apocalyptic number.

210002020221 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

210002020221 is a deficient number, since it is larger than the sum of its proper divisors (134497838211).

210002020221 is a wasteful number, since it uses less digits than its factorization.

210002020221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1459 (or 1442 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 210002020221 its reverse (122020200012), we get a palindrome (332022220233).

The spelling of 210002020221 in words is "two hundred ten billion, two million, twenty thousand, two hundred twenty-one".

Divisors: 1 3 7 17 21 51 107 119 289 321 331 357 749 867 977 993 1819 2023 2247 2317 2931 5457 5627 6069 6839 6951 12733 16609 16881 20517 30923 35417 38199 39389 49827 92769 95659 104539 106251 116263 118167 216461 247919 282353 286977 313617 323387 348789 602089 649383 669613 731773 743757 847059 970161 1777163 1806267 1976471 2008839 2195319 2263709 4214623 5331489 5497579 5929413 6791127 10235513 12440141 12643869 16492737 30211771 30706539 34602409 37320423 38483053 71648591 90635313 93458843 103807227 115449159 211482397 214945773 242216863 280376529 588240953 634447191 654211901 726650589 1764722859 1962635703 4117686671 10000096201 12353060013 30000288603 70000673407 210002020221