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412314101 is a prime number
BaseRepresentation
bin11000100100110…
…110100111110101
31001201211201121122
4120210312213311
51321023022401
6104525153325
713134416633
oct3044664765
91051751548
10412314101
111a1816761
12b60bb845
1367563554
143ca8c353
15262e721b
hex189369f5

412314101 has 2 divisors, whose sum is σ = 412314102. Its totient is φ = 412314100.

The previous prime is 412314059. The next prime is 412314103. The reversal of 412314101 is 101413214.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 405418225 + 6895876 = 20135^2 + 2626^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-412314101 is a prime.

Together with 412314103, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 412314101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (412314103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206157050 + 206157051.

It is an arithmetic number, because the mean of its divisors is an integer number (206157051).

Almost surely, 2412314101 is an apocalyptic number.

It is an amenable number.

412314101 is a deficient number, since it is larger than the sum of its proper divisors (1).

412314101 is an equidigital number, since it uses as much as digits as its factorization.

412314101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 412314101 is about 20305.5189788392. The cubic root of 412314101 is about 744.2909344364.

Adding to 412314101 its reverse (101413214), we get a palindrome (513727315).

The spelling of 412314101 in words is "four hundred twelve million, three hundred fourteen thousand, one hundred one".