Search a number
-
+
122223001231 is a prime number
BaseRepresentation
bin111000111010100001…
…1101111111010001111
3102200110221010202220101
41301311003233322033
54000303042014411
6132052023031531
711554541240362
oct1616503577217
9380427122811
10122223001231
114791a774921
121b83029b5a7
13b6aa910206
145cb66900d9
1532a52178c1
hex1c750efe8f

122223001231 has 2 divisors, whose sum is σ = 122223001232. Its totient is φ = 122223001230.

The previous prime is 122223001217. The next prime is 122223001237. The reversal of 122223001231 is 132100322221.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122223001231 is a prime.

It is a super-2 number, since 2×1222230012312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122223001199 and 122223001208.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122223001237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61111500615 + 61111500616.

It is an arithmetic number, because the mean of its divisors is an integer number (61111500616).

Almost surely, 2122223001231 is an apocalyptic number.

122223001231 is a deficient number, since it is larger than the sum of its proper divisors (1).

122223001231 is an equidigital number, since it uses as much as digits as its factorization.

122223001231 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 122223001231 its reverse (132100322221), we get a palindrome (254323323452).

The spelling of 122223001231 in words is "one hundred twenty-two billion, two hundred twenty-three million, one thousand, two hundred thirty-one".