Search a number
-
+
305344150037 is a prime number
BaseRepresentation
bin1000111000101111110…
…11011111101000010101
31002012010221212222101222
410130113323133220111
520000321100300122
6352135000500125
731026466310603
oct4342773375025
91065127788358
10305344150037
1110854a8a3323
124b21717a645
1322a42075a74
1410ac8bca873
157e21945b42
hex4717edfa15

305344150037 has 2 divisors, whose sum is σ = 305344150038. Its totient is φ = 305344150036.

The previous prime is 305344149977. The next prime is 305344150057. The reversal of 305344150037 is 730051443503.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 298300576561 + 7043573476 = 546169^2 + 83926^2 .

It is a cyclic number.

It is not a de Polignac number, because 305344150037 - 212 = 305344145941 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 305344149979 and 305344150006.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (305344150057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 152672075018 + 152672075019.

It is an arithmetic number, because the mean of its divisors is an integer number (152672075019).

Almost surely, 2305344150037 is an apocalyptic number.

It is an amenable number.

305344150037 is a deficient number, since it is larger than the sum of its proper divisors (1).

305344150037 is an equidigital number, since it uses as much as digits as its factorization.

305344150037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 75600, while the sum is 35.

The spelling of 305344150037 in words is "three hundred five billion, three hundred forty-four million, one hundred fifty thousand, thirty-seven".