Search a number
-
+
230213212037 is a prime number
BaseRepresentation
bin1101011001100111000…
…1101101011110000101
3211000012221202212210122
43112121301231132011
512232434040241122
6253431500031325
722426620005204
oct3263161553605
9730187685718
10230213212037
11896a63a1626
1238749b32545
131892a916133
14b1dc98b23b
155ec5b67142
hex3599c6d785

230213212037 has 2 divisors, whose sum is σ = 230213212038. Its totient is φ = 230213212036.

The previous prime is 230213211971. The next prime is 230213212069. The reversal of 230213212037 is 730212312032.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 155792826436 + 74420385601 = 394706^2 + 272801^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-230213212037 is a prime.

It is a super-3 number, since 3×2302132120373 (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 230213211997 and 230213212015.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (230213212637) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 115106606018 + 115106606019.

It is an arithmetic number, because the mean of its divisors is an integer number (115106606019).

Almost surely, 2230213212037 is an apocalyptic number.

It is an amenable number.

230213212037 is a deficient number, since it is larger than the sum of its proper divisors (1).

230213212037 is an equidigital number, since it uses as much as digits as its factorization.

230213212037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3024, while the sum is 26.

Adding to 230213212037 its reverse (730212312032), we get a palindrome (960425524069).

The spelling of 230213212037 in words is "two hundred thirty billion, two hundred thirteen million, two hundred twelve thousand, thirty-seven".