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431214013 is a prime number
BaseRepresentation
bin11001101100111…
…100110110111101
31010001101221102101
4121230330312331
51340342322023
6110442225101
713454154466
oct3154746675
91101357371
10431214013
1120145551a
121004b5191
136b450029
14413abd6d
1527ccc1ad
hex19b3cdbd

431214013 has 2 divisors, whose sum is σ = 431214014. Its totient is φ = 431214012.

The previous prime is 431213977. The next prime is 431214031. The reversal of 431214013 is 310412134.

Together with next prime (431214031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 379977049 + 51236964 = 19493^2 + 7158^2 .

It is a cyclic number.

It is not a de Polignac number, because 431214013 - 29 = 431213501 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (431214073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 215607006 + 215607007.

It is an arithmetic number, because the mean of its divisors is an integer number (215607007).

Almost surely, 2431214013 is an apocalyptic number.

It is an amenable number.

431214013 is a deficient number, since it is larger than the sum of its proper divisors (1).

431214013 is an equidigital number, since it uses as much as digits as its factorization.

431214013 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.

The square root of 431214013 is about 20765.6931740792. The cubic root of 431214013 is about 755.4938879223.

Adding to 431214013 its reverse (310412134), we get a palindrome (741626147).

The spelling of 431214013 in words is "four hundred thirty-one million, two hundred fourteen thousand, thirteen".