Search a number
-
+
133312123253 is a prime number
BaseRepresentation
bin111110000101000000…
…1011001000101110101
3110202002202021112120102
41330022001121011311
54141010400421003
6141124233243445
712426412231241
oct1741201310565
9422082245512
10133312123253
11515a0244381
1221a05b63585
13c75713cc8a
14664931d421
153703a0d588
hex1f0a059175

133312123253 has 2 divisors, whose sum is σ = 133312123254. Its totient is φ = 133312123252.

The previous prime is 133312123213. The next prime is 133312123289. The reversal of 133312123253 is 352321213331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 124229461444 + 9082661809 = 352462^2 + 95303^2 .

It is a cyclic number.

It is not a de Polignac number, because 133312123253 - 228 = 133043687797 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (133312123213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66656061626 + 66656061627.

It is an arithmetic number, because the mean of its divisors is an integer number (66656061627).

Almost surely, 2133312123253 is an apocalyptic number.

It is an amenable number.

133312123253 is a deficient number, since it is larger than the sum of its proper divisors (1).

133312123253 is an equidigital number, since it uses as much as digits as its factorization.

133312123253 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 9720, while the sum is 29.

Adding to 133312123253 its reverse (352321213331), we get a palindrome (485633336584).

The spelling of 133312123253 in words is "one hundred thirty-three billion, three hundred twelve million, one hundred twenty-three thousand, two hundred fifty-three".