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213205171221 = 3371318611219
BaseRepresentation
bin1100011010010000000…
…1001011110000010101
3202101022122010212222000
43012210001023300111
511443121010434341
6241540050425513
721255265024320
oct3064401136025
9671278125860
10213205171221
1182468840849
12353a1b92299
131714a068b63
14a467bb77b7
15582c9028b6
hex31a404bc15

213205171221 has 32 divisors (see below), whose sum is σ = 363737932800. Its totient is φ = 120901500720.

The previous prime is 213205171147. The next prime is 213205171229. The reversal of 213205171221 is 122171502312.

It is a happy number.

213205171221 is a `hidden beast` number, since 2 + 1 + 3 + 20 + 517 + 122 + 1 = 666.

It is not a de Polignac number, because 213205171221 - 27 = 213205171093 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213205171229) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4280851 + ... + 4330368.

It is an arithmetic number, because the mean of its divisors is an integer number (11366810400).

Almost surely, 2213205171221 is an apocalyptic number.

213205171221 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

213205171221 is a deficient number, since it is larger than the sum of its proper divisors (150532761579).

213205171221 is a wasteful number, since it uses less digits than its factorization.

213205171221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8611366 (or 8611360 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

Adding to 213205171221 its reverse (122171502312), we get a palindrome (335376673533).

The spelling of 213205171221 in words is "two hundred thirteen billion, two hundred five million, one hundred seventy-one thousand, two hundred twenty-one".

Divisors: 1 3 7 9 21 27 63 131 189 393 917 1179 2751 3537 8253 24759 8611219 25833657 60278533 77500971 180835599 232502913 542506797 1128069689 1627520391 3384209067 7896487823 10152627201 23689463469 30457881603 71068390407 213205171221