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146306310077 is a prime number
BaseRepresentation
bin1000100001000010001…
…0010001111110111101
3111222122100010121212002
42020100202101332331
54344113403410302
6151113455552045
713366415054654
oct2102042217675
9458570117762
10146306310077
1157059109254
122443182b625
1310a48257a15
14711cdb419b
153c146b2c02
hex2210891fbd

146306310077 has 2 divisors, whose sum is σ = 146306310078. Its totient is φ = 146306310076.

The previous prime is 146306310043. The next prime is 146306310113. The reversal of 146306310077 is 770013603641.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 118508751001 + 27797559076 = 344251^2 + 166726^2 .

It is a cyclic number.

It is not a de Polignac number, because 146306310077 - 26 = 146306310013 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 146306310077.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (146306310277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 73153155038 + 73153155039.

It is an arithmetic number, because the mean of its divisors is an integer number (73153155039).

Almost surely, 2146306310077 is an apocalyptic number.

It is an amenable number.

146306310077 is a deficient number, since it is larger than the sum of its proper divisors (1).

146306310077 is an equidigital number, since it uses as much as digits as its factorization.

146306310077 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 63504, while the sum is 38.

The spelling of 146306310077 in words is "one hundred forty-six billion, three hundred six million, three hundred ten thousand, seventy-seven".