Search a number
-
+
133101300289 is a prime number
BaseRepresentation
bin111101111110101110…
…1001010101001000001
3110201120001120121211111
41323331131022221001
54140042413102124
6141051302443321
712421242246106
oct1737535125101
9421501517744
10133101300289
11514a2239a21
1221967433541
13c722566669
146629320aad
1536e0267494
hex1efd74aa41

133101300289 has 2 divisors, whose sum is σ = 133101300290. Its totient is φ = 133101300288.

The previous prime is 133101300287. The next prime is 133101300313. The reversal of 133101300289 is 982003101331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 75317313600 + 57783986689 = 274440^2 + 240383^2 .

It is a cyclic number.

It is not a de Polignac number, because 133101300289 - 21 = 133101300287 is a prime.

It is a super-2 number, since 2×1331013002892 (a number of 23 digits) contains 22 as substring.

Together with 133101300287, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 133101300289.

It is not a weakly prime, because it can be changed into another prime (133101300287) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66550650144 + 66550650145.

It is an arithmetic number, because the mean of its divisors is an integer number (66550650145).

Almost surely, 2133101300289 is an apocalyptic number.

It is an amenable number.

133101300289 is a deficient number, since it is larger than the sum of its proper divisors (1).

133101300289 is an equidigital number, since it uses as much as digits as its factorization.

133101300289 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 31.

The spelling of 133101300289 in words is "one hundred thirty-three billion, one hundred one million, three hundred thousand, two hundred eighty-nine".