Search a number
-
+
122231102333 is a prime number
BaseRepresentation
bin111000111010110001…
…0101001101101111101
3102200111111101100112012
41301311202221231331
54000312130233313
6132052512421005
711555000140634
oct1616542515575
9380444340465
10122231102333
11479242a834a
121b832b47765
13b6ac4b8672
145cb779c51b
1532a5cb7da8
hex1c758a9b7d

122231102333 has 2 divisors, whose sum is σ = 122231102334. Its totient is φ = 122231102332.

The previous prime is 122231102327. The next prime is 122231102339. The reversal of 122231102333 is 333201132221.

It is a balanced prime because it is at equal distance from previous prime (122231102327) and next prime (122231102339).

It can be written as a sum of positive squares in only one way, i.e., 119839207684 + 2391894649 = 346178^2 + 48907^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122231102333 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122231102299 and 122231102308.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122231102339) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61115551166 + 61115551167.

It is an arithmetic number, because the mean of its divisors is an integer number (61115551167).

Almost surely, 2122231102333 is an apocalyptic number.

It is an amenable number.

122231102333 is a deficient number, since it is larger than the sum of its proper divisors (1).

122231102333 is an equidigital number, since it uses as much as digits as its factorization.

122231102333 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 122231102333 its reverse (333201132221), we get a palindrome (455432234554).

The spelling of 122231102333 in words is "one hundred twenty-two billion, two hundred thirty-one million, one hundred two thousand, three hundred thirty-three".