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212022132013 is a prime number
BaseRepresentation
bin1100010101110110000…
…0001111110100101101
3202021021012001021021001
43011131200033310231
511433210131211023
6241222430040301
721214051246366
oct3053540176455
9667235037231
10212022132013
1181a10a6999a
1235111949091
1316cbbc32663
14a394a20b6d
1557adb176ad
hex315d80fd2d

212022132013 has 2 divisors, whose sum is σ = 212022132014. Its totient is φ = 212022132012.

The previous prime is 212022131999. The next prime is 212022132031. The reversal of 212022132013 is 310231220212.

Together with next prime (212022132031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 211317654249 + 704477764 = 459693^2 + 26542^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-212022132013 is a prime.

It is a super-3 number, since 3×2120221320133 (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212022132053) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106011066006 + 106011066007.

It is an arithmetic number, because the mean of its divisors is an integer number (106011066007).

Almost surely, 2212022132013 is an apocalyptic number.

It is an amenable number.

212022132013 is a deficient number, since it is larger than the sum of its proper divisors (1).

212022132013 is an equidigital number, since it uses as much as digits as its factorization.

212022132013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 212022132013 its reverse (310231220212), we get a palindrome (522253352225).

It can be divided in two parts, 212022 and 132013, that added together give a triangular number (344035 = T829).

The spelling of 212022132013 in words is "two hundred twelve billion, twenty-two million, one hundred thirty-two thousand, thirteen".