Search a number
-
+
230133232493 is a prime number
BaseRepresentation
bin1101011001010100000…
…0100111001101101101
3211000000101021111111022
43112111000213031231
512232303101414433
6253415521503525
722424626125533
oct3262500471555
9730011244438
10230133232493
118966523482a
12387271a1ba5
1318917192168
14b1d20cc153
155ebdb19698
hex359502736d

230133232493 has 2 divisors, whose sum is σ = 230133232494. Its totient is φ = 230133232492.

The previous prime is 230133232481. The next prime is 230133232499. The reversal of 230133232493 is 394232331032.

230133232493 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., 160401852004 + 69731380489 = 400502^2 + 264067^2 .

It is a cyclic number.

It is not a de Polignac number, because 230133232493 - 220 = 230132183917 is a prime.

It is a super-2 number, since 2×2301332324932 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (230133232499) 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, 115066616246 + 115066616247.

It is an arithmetic number, because the mean of its divisors is an integer number (115066616247).

Almost surely, 2230133232493 is an apocalyptic number.

It is an amenable number.

230133232493 is a deficient number, since it is larger than the sum of its proper divisors (1).

230133232493 is an equidigital number, since it uses as much as digits as its factorization.

230133232493 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 69984, while the sum is 35.

The spelling of 230133232493 in words is "two hundred thirty billion, one hundred thirty-three million, two hundred thirty-two thousand, four hundred ninety-three".