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212414244041341 is a prime number
BaseRepresentation
bin110000010011000010001011…
…100011111011001001111101
31000212002121021212221210201101
4300103002023203323021331
5210320143332433310331
62031433431231013101
762512264661513416
oct6023021343731175
91025077255853641
10212414244041341
1161755414151641
121b9a737866a191
13916a767333114
143a64c9344680d
1519855ae145061
hexc1308b8fb27d

212414244041341 has 2 divisors, whose sum is σ = 212414244041342. Its totient is φ = 212414244041340.

The previous prime is 212414244041339. The next prime is 212414244041353. The reversal of 212414244041341 is 143140442414212.

212414244041341 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 205488641265625 + 6925602775716 = 14334875^2 + 2631654^2 .

It is a cyclic number.

It is not a de Polignac number, because 212414244041341 - 21 = 212414244041339 is a prime.

It is a super-2 number, since 2×2124142440413412 (a number of 29 digits) contains 22 as substring.

Together with 212414244041339, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 212414244041341.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212414244041381) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106207122020670 + 106207122020671.

It is an arithmetic number, because the mean of its divisors is an integer number (106207122020671).

Almost surely, 2212414244041341 is an apocalyptic number.

It is an amenable number.

212414244041341 is a deficient number, since it is larger than the sum of its proper divisors (1).

212414244041341 is an equidigital number, since it uses as much as digits as its factorization.

212414244041341 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 98304, while the sum is 37.

Adding to 212414244041341 its reverse (143140442414212), we get a palindrome (355554686455553).

The spelling of 212414244041341 in words is "two hundred twelve trillion, four hundred fourteen billion, two hundred forty-four million, forty-one thousand, three hundred forty-one".