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221120201022201 = 321324153653146161
BaseRepresentation
bin110010010001101110001111…
…000010001101101011111001
31001222220212212222221120211100
4302101232033002031223321
5212440313132430202301
62102141115031122013
764401256500043425
oct6221561702155371
91058825788846740
10221120201022201
1164501606981348
12209726abb13309
13964c71257a150
143c863bc1dbb85
151a86c9d0ee286
hexc91b8f08daf9

221120201022201 has 48 divisors (see below), whose sum is σ = 345400797453712. Its totient is φ = 135505894809600.

The previous prime is 221120201022113. The next prime is 221120201022323. The reversal of 221120201022201 is 102220102021122.

It is a happy number.

221120201022201 is a `hidden beast` number, since 221 + 1 + 20 + 201 + 0 + 2 + 220 + 1 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 8932034799801 + 212188166222400 = 2988651^2 + 14566680^2 .

It is not a de Polignac number, because 221120201022201 - 27 = 221120201022073 is a prime.

It is not an unprimeable number, because it can be changed into a prime (221120201022401) 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, 1512780561 + ... + 1512926721.

Almost surely, 2221120201022201 is an apocalyptic number.

It is an amenable number.

221120201022201 is a deficient number, since it is larger than the sum of its proper divisors (124280596431511).

221120201022201 is a wasteful number, since it uses less digits than its factorization.

221120201022201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200074 (or 200071 counting only the distinct ones).

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

Adding to 221120201022201 its reverse (102220102021122), we get a palindrome (323340303043323).

The spelling of 221120201022201 in words is "two hundred twenty-one trillion, one hundred twenty billion, two hundred one million, twenty-two thousand, two hundred one".

Divisors: 1 3 9 13 39 117 241 723 2169 3133 9399 28197 53653 146161 160959 438483 482877 697489 1315449 1900093 2092467 5700279 6277401 12930373 17100837 35224801 38791119 105674403 116373357 168094849 317023209 457922413 504284547 1373767239 1512853641 4121301717 7841976133 23525928399 70577785197 101945689729 305837069187 917511207561 1889916248053 5669748744159 17009246232477 24568911224689 73706733674067 221120201022201