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213968407 is a prime number
BaseRepresentation
bin11001100000011…
…10011000010111
3112220121201110211
430300032120113
5414233442112
633122030251
75205462412
oct1460163027
9486551424
10213968407
11aa8636a4
125b7a8387
1335438233
14205bab79
1513bb80a7
hexcc0e617

213968407 has 2 divisors, whose sum is σ = 213968408. Its totient is φ = 213968406.

The previous prime is 213968383. The next prime is 213968411. The reversal of 213968407 is 704869312.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 213968407 - 211 = 213966359 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 213968407.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213968207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106984203 + 106984204.

It is an arithmetic number, because the mean of its divisors is an integer number (106984204).

Almost surely, 2213968407 is an apocalyptic number.

213968407 is a deficient number, since it is larger than the sum of its proper divisors (1).

213968407 is an equidigital number, since it uses as much as digits as its factorization.

213968407 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72576, while the sum is 40.

The square root of 213968407 is about 14627.6589719613. The cubic root of 213968407 is about 598.1129667681.

The spelling of 213968407 in words is "two hundred thirteen million, nine hundred sixty-eight thousand, four hundred seven".