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221211201213 = 32101445754601
BaseRepresentation
bin1100111000000100110…
…1110000111010111101
3210010222120220100110100
43032001031300322331
512111020031414323
6245342323431313
721660551120532
oct3160115607275
9703876810410
10221211201213
11858a6a57662
1236a57225539
1317b24910802
14a9c71b0d89
155b4a6de943
hex3381370ebd

221211201213 has 24 divisors (see below), whose sum is σ = 322769239416. Its totient is φ = 145978560000.

The previous prime is 221211201209. The next prime is 221211201221. The reversal of 221211201213 is 312102112122.

221211201213 is a `hidden beast` number, since 221 + 211 + 20 + 1 + 213 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 49196127204 + 172015074009 = 221802^2 + 414747^2 .

It is not a de Polignac number, because 221211201213 - 22 = 221211201209 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221211201223) 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, 4024113 + ... + 4078713.

It is an arithmetic number, because the mean of its divisors is an integer number (13448718309).

Almost surely, 2221211201213 is an apocalyptic number.

It is an amenable number.

221211201213 is a deficient number, since it is larger than the sum of its proper divisors (101558038203).

221211201213 is a wasteful number, since it uses less digits than its factorization.

221211201213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59165 (or 59162 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 221211201213 its reverse (312102112122), we get a palindrome (533313313335).

The spelling of 221211201213 in words is "two hundred twenty-one billion, two hundred eleven million, two hundred one thousand, two hundred thirteen".

Divisors: 1 3 9 101 303 909 4457 13371 40113 54601 163803 450157 491409 1350471 4051413 5514701 16544103 49632309 243356657 730069971 2190209913 24579022357 73737067071 221211201213