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214031000413 is a prime number
BaseRepresentation
bin1100011101010100111…
…1011110001101011101
3202110110012002100122101
43013111033132031131
512001313414003123
6242154031045101
721314613325516
oct3072517361535
9673405070571
10214031000413
1182851a1350a
1235592670791
131724c193499
14a505747a0d
15587a17caad
hex31d53de35d

214031000413 has 2 divisors, whose sum is σ = 214031000414. Its totient is φ = 214031000412.

The previous prime is 214031000357. The next prime is 214031000437. The reversal of 214031000413 is 314000130412.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 207536735844 + 6494264569 = 455562^2 + 80587^2 .

It is a cyclic number.

It is not a de Polignac number, because 214031000413 - 29 = 214030999901 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (214031000473) 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, 107015500206 + 107015500207.

It is an arithmetic number, because the mean of its divisors is an integer number (107015500207).

Almost surely, 2214031000413 is an apocalyptic number.

It is an amenable number.

214031000413 is a deficient number, since it is larger than the sum of its proper divisors (1).

214031000413 is an equidigital number, since it uses as much as digits as its factorization.

214031000413 is an odious number, because the sum of its binary digits is odd.

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

Adding to 214031000413 its reverse (314000130412), we get a palindrome (528031130825).

The spelling of 214031000413 in words is "two hundred fourteen billion, thirty-one million, four hundred thirteen", and thus it is an aban number.