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221201212001 = 72111102737217
BaseRepresentation
bin1100111000000010011…
…1101010001001100001
3210010221220002211211112
43032000213222021201
512111010002241001
6245341325353105
721660400164500
oct3160047521141
9703856084745
10221201212001
11858a1354610
1236a53a08795
1317b22823b33
14a9c5b30837
155b498b9cbb
hex33809ea261

221201212001 has 24 divisors (see below), whose sum is σ = 280741031136. Its totient is φ = 172344318720.

The previous prime is 221201211947. The next prime is 221201212013. The reversal of 221201212001 is 100212102122.

It is not a de Polignac number, because 221201212001 - 214 = 221201195617 is a prime.

It is a super-2 number, since 2×2212012120012 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (221201217001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5924945 + ... + 5962161.

It is an arithmetic number, because the mean of its divisors is an integer number (11697542964).

Almost surely, 2221201212001 is an apocalyptic number.

It is an amenable number.

221201212001 is a deficient number, since it is larger than the sum of its proper divisors (59539819135).

221201212001 is a wasteful number, since it uses less digits than its factorization.

221201212001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48269 (or 48262 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 221201212001 its reverse (100212102122), we get a palindrome (321413314123).

It can be divided in two parts, 22120121 and 2001, that added together give a palindrome (22122122).

The spelling of 221201212001 in words is "two hundred twenty-one billion, two hundred one million, two hundred twelve thousand, one".

Divisors: 1 7 11 49 77 539 11027 37217 77189 121297 260519 409387 540323 849079 1823633 2865709 5943553 20059963 410391859 2872743013 4514310449 20109201091 31600173143 221201212001