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12312222030133 is a prime number
BaseRepresentation
bin1011001100101010100110…
…0111101101100100110101
31121121000222220220120222021
42303022221213231210311
53103210412314431013
642104053503433141
72410346224331644
oct263125147554465
947530886816867
1012312222030133
113a176473a2253
12146a2362b57b1
136b406468178c
14307cb401735b
151654085aba8d
hexb32a99ed935

12312222030133 has 2 divisors, whose sum is σ = 12312222030134. Its totient is φ = 12312222030132.

The previous prime is 12312222030113. The next prime is 12312222030139. The reversal of 12312222030133 is 33103022221321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11680249499044 + 631972531089 = 3417638^2 + 794967^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12312222030133 is a prime.

It is a super-2 number, since 2×123122220301332 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12312222030098 and 12312222030107.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12312222030139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6156111015066 + 6156111015067.

It is an arithmetic number, because the mean of its divisors is an integer number (6156111015067).

Almost surely, 212312222030133 is an apocalyptic number.

It is an amenable number.

12312222030133 is a deficient number, since it is larger than the sum of its proper divisors (1).

12312222030133 is an equidigital number, since it uses as much as digits as its factorization.

12312222030133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 12312222030133 its reverse (33103022221321), we get a palindrome (45415244251454).

The spelling of 12312222030133 in words is "twelve trillion, three hundred twelve billion, two hundred twenty-two million, thirty thousand, one hundred thirty-three".