Search a number
-
+
231133103103349 is a prime number
BaseRepresentation
bin110100100011011011011110…
…100000011001110101110101
31010022101002221100201110201001
4310203123132200121311311
5220243341043343301344
62135325025352403301
766453546522331666
oct6443333640316565
91108332840643631
10231133103103349
1167711aa908a947
1221b0b1886a6531
139bc79b1711bc5
144110c8aa8736d
151bac480aa0ed4
hexd236de819d75

231133103103349 has 2 divisors, whose sum is σ = 231133103103350. Its totient is φ = 231133103103348.

The previous prime is 231133103103299. The next prime is 231133103103389. The reversal of 231133103103349 is 943301301331132.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 128687470402500 + 102445632700849 = 11344050^2 + 10121543^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-231133103103349 is a prime.

It is a super-2 number, since 2×2311331031033492 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (231133103103389) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 115566551551674 + 115566551551675.

It is an arithmetic number, because the mean of its divisors is an integer number (115566551551675).

Almost surely, 2231133103103349 is an apocalyptic number.

It is an amenable number.

231133103103349 is a deficient number, since it is larger than the sum of its proper divisors (1).

231133103103349 is an equidigital number, since it uses as much as digits as its factorization.

231133103103349 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 52488, while the sum is 37.

The spelling of 231133103103349 in words is "two hundred thirty-one trillion, one hundred thirty-three billion, one hundred three million, one hundred three thousand, three hundred forty-nine".