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21200002200201 = 31117389131973651
BaseRepresentation
bin1001101001000000000101…
…00110011011001010001001
32210001200220121022101202010
410310200002212123022021
510234320101030401301
6113031051353530133
74315435550310336
oct464400246331211
983050817271663
1021200002200201
116833963617180
122464851a13949
13baa1c818c026
1453412ab9998d
1526b6d9d585d6
hex13480299b289

21200002200201 has 64 divisors (see below), whose sum is σ = 32759466854400. Its totient is φ = 12052298112000.

The previous prime is 21200002200197. The next prime is 21200002200203. The reversal of 21200002200201 is 10200220000212.

It is not a de Polignac number, because 21200002200201 - 22 = 21200002200197 is a prime.

It is not an unprimeable number, because it can be changed into a prime (21200002200203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 287807226 + ... + 287880876.

It is an arithmetic number, because the mean of its divisors is an integer number (511866669600).

Almost surely, 221200002200201 is an apocalyptic number.

It is an amenable number.

21200002200201 is a deficient number, since it is larger than the sum of its proper divisors (11559464654199).

21200002200201 is a wasteful number, since it uses less digits than its factorization.

21200002200201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75390.

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

Adding to 21200002200201 its reverse (10200220000212), we get a palindrome (31400222200413).

The spelling of 21200002200201 in words is "twenty-one trillion, two hundred billion, two million, two hundred thousand, two hundred one".

Divisors: 1 3 11 17 33 51 187 389 561 1167 1319 3957 4279 6613 12837 14509 19839 22423 43527 67269 72743 73651 218229 220953 246653 513091 739959 810161 1252067 1539273 2430483 3756201 5644001 8722547 13772737 16932003 26167641 28650239 41318211 85950717 95948017 97145669 287844051 291437007 315152629 487054063 945457887 1068602359 1461162189 1651476373 3205807077 4954429119 5357594693 16072784079 18166240103 37789665241 54498720309 113368995723 415686317651 642424309097 1247058952953 1927272927291 7066667400067 21200002200201