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211221210305 = 5722813068069
BaseRepresentation
bin1100010010110111000…
…0111110010011000001
3202012012100222020020002
43010231300332103001
511430040112212210
6241011135325345
721155154443600
oct3045560762301
9665170866202
10211221210305
118163a959626
1234b29680855
1316bc20190a1
14a31a4d5a37
15576365c4a5
hex312dc3e4c1

211221210305 has 24 divisors (see below), whose sum is σ = 295896943080. Its totient is φ = 144321918720.

The previous prime is 211221210271. The next prime is 211221210323. The reversal of 211221210305 is 503012122112.

It can be written as a sum of positive squares in 4 ways, for example, as 45884638849 + 165336571456 = 214207^2 + 406616^2 .

It is not a de Polignac number, because 211221210305 - 28 = 211221210049 is a prime.

It is a super-2 number, since 2×2112212103052 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1465190 + ... + 1602879.

It is an arithmetic number, because the mean of its divisors is an integer number (12329039295).

Almost surely, 2211221210305 is an apocalyptic number.

It is an amenable number.

211221210305 is a deficient number, since it is larger than the sum of its proper divisors (84675732775).

211221210305 is a wasteful number, since it uses less digits than its factorization.

211221210305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3068369 (or 3068362 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

Adding to 211221210305 its reverse (503012122112), we get a palindrome (714233332417).

The spelling of 211221210305 in words is "two hundred eleven billion, two hundred twenty-one million, two hundred ten thousand, three hundred five".

Divisors: 1 5 7 35 49 245 281 1405 1967 9835 13769 68845 3068069 15340345 21476483 107382415 150335381 751676905 862127389 4310636945 6034891723 30174458615 42244242061 211221210305