Search a number
-
+
12233012133281 is a prime number
BaseRepresentation
bin1011001000000011100001…
…0101111011110110100001
31121022110112122111220201212
42302000320111323312201
53100411202101231111
642003433532435505
72401543305324032
oct262007025736641
947273478456655
1012233012133281
113996a9a487385
121456a0b018b95
136a9750145c24
1430411c18ca89
1516331e65c98b
hexb203857bda1

12233012133281 has 2 divisors, whose sum is σ = 12233012133282. Its totient is φ = 12233012133280.

The previous prime is 12233012133271. The next prime is 12233012133341. The reversal of 12233012133281 is 18233121033221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12068953921600 + 164058211681 = 3474040^2 + 405041^2 .

It is a cyclic number.

It is not a de Polignac number, because 12233012133281 - 242 = 7834965622177 is a prime.

It is a super-2 number, since 2×122330121332812 (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12233012133211) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6116506066640 + 6116506066641.

It is an arithmetic number, because the mean of its divisors is an integer number (6116506066641).

Almost surely, 212233012133281 is an apocalyptic number.

It is an amenable number.

12233012133281 is a deficient number, since it is larger than the sum of its proper divisors (1).

12233012133281 is an equidigital number, since it uses as much as digits as its factorization.

12233012133281 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10368, while the sum is 32.

The spelling of 12233012133281 in words is "twelve trillion, two hundred thirty-three billion, twelve million, one hundred thirty-three thousand, two hundred eighty-one".