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210001012221 = 371113374740213
BaseRepresentation
bin1100001110010100001…
…0010010010111111101
3202002001022221202010110
43003211002102113331
511420040224342341
6240250110300233
721113010103020
oct3034502222775
9662038852113
10210001012221
1181074107760
1234848ab7679
1316a592a22a0
14a2424291b7
1556e1482216
hex30e50925fd

210001012221 has 128 divisors (see below), whose sum is σ = 394331406336. Its totient is φ = 95891143680.

The previous prime is 210001012213. The next prime is 210001012307. The reversal of 210001012221 is 122210100012.

210001012221 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 210001012221 - 23 = 210001012213 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 210001012197 and 210001012206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210001012421) 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 127 ways as a sum of consecutive naturals, for example, 5202111 + ... + 5242323.

It is an arithmetic number, because the mean of its divisors is an integer number (3080714112).

Almost surely, 2210001012221 is an apocalyptic number.

210001012221 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

210001012221 is a deficient number, since it is larger than the sum of its proper divisors (184330394115).

210001012221 is a wasteful number, since it uses less digits than its factorization.

210001012221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40331.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 210001012221 its reverse (122210100012), we get a palindrome (332211112233).

The spelling of 210001012221 in words is "two hundred ten billion, one million, twelve thousand, two hundred twenty-one".

Divisors: 1 3 7 11 13 21 33 37 39 47 77 91 111 141 143 231 259 273 329 407 429 481 517 611 777 987 1001 1221 1443 1551 1739 1833 2849 3003 3367 3619 4277 5217 5291 6721 8547 10101 10857 12173 12831 15873 19129 20163 22607 36519 37037 40213 47047 57387 67821 111111 120639 133903 141141 158249 248677 281491 401709 442343 474747 522769 746031 844473 1327029 1487881 1568307 1740739 1890011 3096401 3659383 4463643 5222217 5670033 5750459 9289203 10415167 10978149 13230077 16366691 17251377 19342453 20790121 24570143 31245501 39690231 40253213 49100073 58027359 62370363 69930407 73710429 114566837 120759639 135397171 145530847 171991001 209791221 212766983 270271573 343700511 406191513 436592541 489512849 515973003 638300949 769234477 810814719 909095291 1468538547 1489368881 1891901011 2307703431 2727285873 4468106643 5384641339 5675703033 6363667037 10000048201 16153924017 19091001111 30000144603 70000337407 210001012221