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201221321023233 = 367371065728803
BaseRepresentation
bin101101110000001001111101…
…010111000101111100000001
3222101110120101211121101000000
4231300021331113011330001
5202333302231140220413
61551543444305350213
760245521626605250
oct5560117527057401
9871416354541000
10201221321023233
115912a5349857a5
121a69a059338369
138838120b3a564
143799241a68797
15183e36598a073
hexb7027d5c5f01

201221321023233 has 56 divisors (see below), whose sum is σ = 354111841162688. Its totient is φ = 111875946718752.

The previous prime is 201221321023231. The next prime is 201221321023253. The reversal of 201221321023233 is 332320123122102.

201221321023233 is a `hidden beast` number, since 2 + 0 + 1 + 2 + 213 + 210 + 2 + 3 + 233 = 666.

201221321023233 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 201221321023233 - 21 = 201221321023231 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 201221321023197 and 201221321023206.

It is not an unprimeable number, because it can be changed into a prime (201221321023231) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 532675591 + ... + 533053212.

It is an arithmetic number, because the mean of its divisors is an integer number (6323425735048).

Almost surely, 2201221321023233 is an apocalyptic number.

It is an amenable number.

201221321023233 is a deficient number, since it is larger than the sum of its proper divisors (152890520139455).

201221321023233 is an equidigital number, since it uses as much as digits as its factorization.

201221321023233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1065728865 (or 1065728850 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 201221321023233 its reverse (332320123122102), we get a palindrome (533541444145335).

The spelling of 201221321023233 in words is "two hundred one trillion, two hundred twenty-one billion, three hundred twenty-one million, twenty-three thousand, two hundred thirty-three".

Divisors: 1 3 7 9 21 27 37 63 81 111 189 243 259 333 567 729 777 999 1701 2331 2997 5103 6993 8991 20979 26973 62937 188811 1065728803 3197186409 7460101621 9591559227 22380304863 28774677681 39431965711 67140914589 86324033043 118295897133 201422743767 258972099129 276023759977 354887691399 604268231301 776916297387 828071279931 1064663074197 1812804693903 2484213839793 3193989222591 5438414081709 7452641519379 9581967667773 22357924558137 28745903003319 67073773674411 201221321023233