Search a number
-
+
133123323130289 is a prime number
BaseRepresentation
bin11110010001001100110000…
…011000101111000110110001
3122110100110120021111200110222
4132101030300120233012301
5114422043031210132124
61151044002124102425
740016562022240502
oct3621146030570661
9573313507450428
10133123323130289
1139465314430a98
1212b20237694a15
1359386248bc91b
1424c32bb8b8ba9
15105cc9a8b425e
hex79133062f1b1

133123323130289 has 2 divisors, whose sum is σ = 133123323130290. Its totient is φ = 133123323130288.

The previous prime is 133123323130279. The next prime is 133123323130363. The reversal of 133123323130289 is 982031323321331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 132952245762064 + 171077368225 = 11530492^2 + 413615^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-133123323130289 is a prime.

It is a super-2 number, since 2×1331233231302892 (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (133123323130229) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66561661565144 + 66561661565145.

It is an arithmetic number, because the mean of its divisors is an integer number (66561661565145).

Almost surely, 2133123323130289 is an apocalyptic number.

It is an amenable number.

133123323130289 is a deficient number, since it is larger than the sum of its proper divisors (1).

133123323130289 is an equidigital number, since it uses as much as digits as its factorization.

133123323130289 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 419904, while the sum is 44.

The spelling of 133123323130289 in words is "one hundred thirty-three trillion, one hundred twenty-three billion, three hundred twenty-three million, one hundred thirty thousand, two hundred eighty-nine".