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145214312017 is a prime number
BaseRepresentation
bin1000011100111101110…
…0101000111001010001
3111212211020100101010111
42013033130220321101
54334344330441032
6150413250401321
713330355200105
oct2071734507121
9455736311114
10145214312017
1156648769a15
1224187b90241
1310902c49318
147057d59905
153b9d8acc47
hex21cf728e51

145214312017 has 2 divisors, whose sum is σ = 145214312018. Its totient is φ = 145214312016.

The previous prime is 145214311993. The next prime is 145214312027. The reversal of 145214312017 is 710213412541.

145214312017 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 143250138256 + 1964173761 = 378484^2 + 44319^2 .

It is a cyclic number.

It is not a de Polignac number, because 145214312017 - 27 = 145214311889 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 145214312017.

It is not a weakly prime, because it can be changed into another prime (145214312027) 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, 72607156008 + 72607156009.

It is an arithmetic number, because the mean of its divisors is an integer number (72607156009).

Almost surely, 2145214312017 is an apocalyptic number.

It is an amenable number.

145214312017 is a deficient number, since it is larger than the sum of its proper divisors (1).

145214312017 is an equidigital number, since it uses as much as digits as its factorization.

145214312017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6720, while the sum is 31.

Adding to 145214312017 its reverse (710213412541), we get a palindrome (855427724558).

The spelling of 145214312017 in words is "one hundred forty-five billion, two hundred fourteen million, three hundred twelve thousand, seventeen".