Search a number
-
+
200221022200101 = 372310729399131779
BaseRepresentation
bin101101100001100110010110…
…111001111010000100100101
3222020220221110021220011020120
4231201212112321322010211
5202220410123140400401
61545500133502152153
760113330403110610
oct5541462671720445
9866827407804216
10200221022200101
115888429330a641
121a558213282659
1387949b89967c6
143762a6ba77177
15182331cd98836
hexb61996e7a125

200221022200101 has 64 divisors (see below), whose sum is σ = 321352593408000. Its totient is φ = 108410285877696.

The previous prime is 200221022200099. The next prime is 200221022200183. The reversal of 200221022200101 is 101002220122002.

200221022200101 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 200221022200101 - 21 = 200221022200099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200221022200201) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1519303830 + ... + 1519435608.

It is an arithmetic number, because the mean of its divisors is an integer number (5021134272000).

Almost surely, 2200221022200101 is an apocalyptic number.

200221022200101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

200221022200101 is a deficient number, since it is larger than the sum of its proper divisors (121131571207899).

200221022200101 is a wasteful number, since it uses less digits than its factorization.

200221022200101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161318.

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 200221022200101 its reverse (101002220122002), we get a palindrome (301223242322103).

The spelling of 200221022200101 in words is "two hundred trillion, two hundred twenty-one billion, twenty-two million, two hundred thousand, one hundred one".

Divisors: 1 3 7 21 23 69 107 161 321 483 749 2247 2461 7383 17227 29399 51681 88197 131779 205793 395337 617379 676177 922453 2028531 2767359 3030917 3145693 4733239 9092751 9437079 14100353 14199717 21216419 22019851 42301059 63649257 66059553 72350939 98702471 217052817 296107413 324308119 506456573 972924357 1519369719 2270156833 3874170821 6810470499 11622512463 27119195747 81357587241 89105928883 267317786649 414536277847 623741502181 1243608833541 1871224506543 2901753944929 8705261834787 9534334390481 28603003171443 66740340733367 200221022200101