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412314324001 is a prime number
BaseRepresentation
bin1011111111111111101…
…10010100110000100001
31110102020220010211210221
411333333312110300201
523223404431332001
6513225314523041
741534350633156
oct5777766246041
91412226124727
10412314324001
11149952761278
1267aab296481
132cb5b9476a8
1415d5584222d
15aad2a571a1
hex5fffd94c21

412314324001 has 2 divisors, whose sum is σ = 412314324002. Its totient is φ = 412314324000.

The previous prime is 412314323999. The next prime is 412314324029. The reversal of 412314324001 is 100423413214.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 258119883025 + 154194440976 = 508055^2 + 392676^2 .

It is a cyclic number.

It is not a de Polignac number, because 412314324001 - 21 = 412314323999 is a prime.

Together with 412314323999, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (412314304001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206157162000 + 206157162001.

It is an arithmetic number, because the mean of its divisors is an integer number (206157162001).

Almost surely, 2412314324001 is an apocalyptic number.

It is an amenable number.

412314324001 is a deficient number, since it is larger than the sum of its proper divisors (1).

412314324001 is an equidigital number, since it uses as much as digits as its factorization.

412314324001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 412314324001 its reverse (100423413214), we get a palindrome (512737737215).

The spelling of 412314324001 in words is "four hundred twelve billion, three hundred fourteen million, three hundred twenty-four thousand, one".