Search a number
-
+
230180331257 is a prime number
BaseRepresentation
bin1101011001011111010…
…0010001111011111001
3211000010122220100211222
43112113310101323321
512232402131100012
6253424323201425
722426040350652
oct3262764217371
9730118810758
10230180331257
1189689883828
123873ab16275
1318923b72b56
14b1d846c529
155ec2d1e972
hex3597d11ef9

230180331257 has 2 divisors, whose sum is σ = 230180331258. Its totient is φ = 230180331256.

The previous prime is 230180331203. The next prime is 230180331289. The reversal of 230180331257 is 752133081032.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 218564665081 + 11615666176 = 467509^2 + 107776^2 .

It is a cyclic number.

It is not a de Polignac number, because 230180331257 - 28 = 230180331001 is a prime.

It is not a weakly prime, because it can be changed into another prime (230180231257) 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, 115090165628 + 115090165629.

It is an arithmetic number, because the mean of its divisors is an integer number (115090165629).

Almost surely, 2230180331257 is an apocalyptic number.

It is an amenable number.

230180331257 is a deficient number, since it is larger than the sum of its proper divisors (1).

230180331257 is an equidigital number, since it uses as much as digits as its factorization.

230180331257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 30240, while the sum is 35.

The spelling of 230180331257 in words is "two hundred thirty billion, one hundred eighty million, three hundred thirty-one thousand, two hundred fifty-seven".