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212211120001 is a prime number
BaseRepresentation
bin1100010110100011000…
…1001011011110000001
3202021202100122212001011
43011220301023132001
511434102021320001
6241253300440521
721221534520646
oct3055061133601
9667670585034
10212211120001
1181aa8710411
12351650a9141
131701c13257a
14a3b1b77dcd
1557c04e8d51
hex3168c4b781

212211120001 has 2 divisors, whose sum is σ = 212211120002. Its totient is φ = 212211120000.

The previous prime is 212211119977. The next prime is 212211120007. The reversal of 212211120001 is 100021112212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 153018662976 + 59192457025 = 391176^2 + 243295^2 .

It is a cyclic number.

It is not a de Polignac number, because 212211120001 - 223 = 212202731393 is a prime.

It is not a weakly prime, because it can be changed into another prime (212211120007) 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, 106105560000 + 106105560001.

It is an arithmetic number, because the mean of its divisors is an integer number (106105560001).

Almost surely, 2212211120001 is an apocalyptic number.

It is an amenable number.

212211120001 is a deficient number, since it is larger than the sum of its proper divisors (1).

212211120001 is an equidigital number, since it uses as much as digits as its factorization.

212211120001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 212211120001 its reverse (100021112212), we get a palindrome (312232232213).

The spelling of 212211120001 in words is "two hundred twelve billion, two hundred eleven million, one hundred twenty thousand, one".