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21213310177 is a prime number
BaseRepresentation
bin10011110000011010…
…010110110011100001
32000202101120210220201
4103300122112303201
5321421101411202
613424550505201
71350454106233
oct236032266341
960671523821
1021213310177
118aa63a6a04
124140365201
132000b7c557
1410534bc253
15842535387
hex4f0696ce1

21213310177 has 2 divisors, whose sum is σ = 21213310178. Its totient is φ = 21213310176.

The previous prime is 21213310061. The next prime is 21213310187. The reversal of 21213310177 is 77101331212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20202642496 + 1010667681 = 142136^2 + 31791^2 .

It is a cyclic number.

It is not a de Polignac number, because 21213310177 - 215 = 21213277409 is a prime.

It is a super-2 number, since 2×212133101772 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (21213310187) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10606655088 + 10606655089.

It is an arithmetic number, because the mean of its divisors is an integer number (10606655089).

Almost surely, 221213310177 is an apocalyptic number.

It is an amenable number.

21213310177 is a deficient number, since it is larger than the sum of its proper divisors (1).

21213310177 is an equidigital number, since it uses as much as digits as its factorization.

21213310177 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1764, while the sum is 28.

Adding to 21213310177 its reverse (77101331212), we get a palindrome (98314641389).

The spelling of 21213310177 in words is "twenty-one billion, two hundred thirteen million, three hundred ten thousand, one hundred seventy-seven".