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212024131217 is a prime number
BaseRepresentation
bin1100010101110110011…
…1110111111010010001
3202021021022210211122122
43011131213313322101
511433211134144332
6241222540544025
721214104244103
oct3053547677221
9667238724578
10212024131217
1181a12104a28
1235112552015
1316cbc482612
14a394dc1573
1557addaec12
hex315d9f7e91

212024131217 has 2 divisors, whose sum is σ = 212024131218. Its totient is φ = 212024131216.

The previous prime is 212024131213. The next prime is 212024131273. The reversal of 212024131217 is 712131420212.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 167779532881 + 44244598336 = 409609^2 + 210344^2 .

It is a cyclic number.

It is not a de Polignac number, because 212024131217 - 22 = 212024131213 is a prime.

It is not a weakly prime, because it can be changed into another prime (212024131213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106012065608 + 106012065609.

It is an arithmetic number, because the mean of its divisors is an integer number (106012065609).

Almost surely, 2212024131217 is an apocalyptic number.

It is an amenable number.

212024131217 is a deficient number, since it is larger than the sum of its proper divisors (1).

212024131217 is an equidigital number, since it uses as much as digits as its factorization.

212024131217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1344, while the sum is 26.

Adding to 212024131217 its reverse (712131420212), we get a palindrome (924155551429).

The spelling of 212024131217 in words is "two hundred twelve billion, twenty-four million, one hundred thirty-one thousand, two hundred seventeen".