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22210201012221 = 32375311931054853
BaseRepresentation
bin1010000110011001101110…
…01001000100011111111101
32220122021102002121011011200
411003030313021010133331
510402342442424342341
6115123120412210113
74451430325450245
oct503146711043775
986567362534150
1022210201012221
1170933254a8532
1225a859b469939
13c5154a3a4681
1456ad9d918b25
15287b11b4edb6
hex1433372447fd

22210201012221 has 48 divisors (see below), whose sum is σ = 33598306652976. Its totient is φ = 14122932415488.

The previous prime is 22210201012193. The next prime is 22210201012229. The reversal of 22210201012221 is 12221010201222.

It is a happy number.

22210201012221 is a `hidden beast` number, since 22 + 210 + 201 + 0 + 12 + 221 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 5939578265625 + 16270622746596 = 2437125^2 + 4033686^2 .

It is not a de Polignac number, because 22210201012221 - 29 = 22210201011709 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22210201012194 and 22210201012203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22210201012229) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20527831 + ... + 21582683.

It is an arithmetic number, because the mean of its divisors is an integer number (699964721937).

Almost surely, 222210201012221 is an apocalyptic number.

It is an amenable number.

22210201012221 is a deficient number, since it is larger than the sum of its proper divisors (11388105640755).

22210201012221 is a wasteful number, since it uses less digits than its factorization.

22210201012221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1056142 (or 1056139 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 22210201012221 its reverse (12221010201222), we get a palindrome (34431211213443).

The spelling of 22210201012221 in words is "twenty-two trillion, two hundred ten billion, two hundred one million, twelve thousand, two hundred twenty-one".

Divisors: 1 3 9 37 53 111 159 333 477 1193 1961 3579 5883 10737 17649 44141 63229 132423 189687 397269 569061 1054853 2339473 3164559 7018419 9493677 21055257 39029561 55907209 117088683 167721627 351266049 503164881 1258439629 2068566733 3775318887 6205700199 11325956661 18617100597 46562266273 66697300337 139686798819 200091901011 419060396457 600275703033 2467800112469 7403400337407 22210201012221