Search a number
-
+
103233303221 is a prime number
BaseRepresentation
bin110000000100100101…
…1110011001010110101
3100212110111200011102212
41200021023303022311
53142410211200341
6115231423543205
710313134412336
oct1401113631265
9325414604385
10103233303221
113a865565724
121801075ab05
13997263b909
144dd463828d
152a430155eb
hex18092f32b5

103233303221 has 2 divisors, whose sum is σ = 103233303222. Its totient is φ = 103233303220.

The previous prime is 103233303209. The next prime is 103233303223. The reversal of 103233303221 is 122303332301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 74753028100 + 28480275121 = 273410^2 + 168761^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-103233303221 is a prime.

It is a super-2 number, since 2×1032333032212 (a number of 23 digits) contains 22 as substring.

Together with 103233303223, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (103233303223) 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, 51616651610 + 51616651611.

It is an arithmetic number, because the mean of its divisors is an integer number (51616651611).

Almost surely, 2103233303221 is an apocalyptic number.

It is an amenable number.

103233303221 is a deficient number, since it is larger than the sum of its proper divisors (1).

103233303221 is an equidigital number, since it uses as much as digits as its factorization.

103233303221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 23.

Adding to 103233303221 its reverse (122303332301), we get a palindrome (225536635522).

The spelling of 103233303221 in words is "one hundred three billion, two hundred thirty-three million, three hundred three thousand, two hundred twenty-one".