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405315431 is a prime number
BaseRepresentation
bin11000001010001…
…001111101100111
31001020200011020122
4120022021331213
51312230043211
6104115152155
713021060433
oct3012117547
91036604218
10405315431
11198876534
12b38a565b
1365c82b21
143bb899c3
15258b36db
hex18289f67

405315431 has 2 divisors, whose sum is σ = 405315432. Its totient is φ = 405315430.

The previous prime is 405315419. The next prime is 405315457. The reversal of 405315431 is 134513504.

It is an a-pointer prime, because the next prime (405315457) can be obtained adding 405315431 to its sum of digits (26).

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 405315431 - 214 = 405299047 is a prime.

It is a super-2 number, since 2×4053154312 = 328561197213431522, which contains 22 as substring.

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 405315431.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (405315401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 202657715 + 202657716.

It is an arithmetic number, because the mean of its divisors is an integer number (202657716).

Almost surely, 2405315431 is an apocalyptic number.

405315431 is a deficient number, since it is larger than the sum of its proper divisors (1).

405315431 is an equidigital number, since it uses as much as digits as its factorization.

405315431 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3600, while the sum is 26.

The square root of 405315431 is about 20132.4472183587. The cubic root of 405315431 is about 740.0556514027.

Adding to 405315431 its reverse (134513504), we get a palindrome (539828935).

The spelling of 405315431 in words is "four hundred five million, three hundred fifteen thousand, four hundred thirty-one".