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12312020133233 is a prime number
BaseRepresentation
bin1011001100101001110110…
…0101100010010101110001
31121121000110212000011111022
42303022131211202111301
53103210004123230413
642104021452225225
72410341223254152
oct263123545422561
947530425004438
1012312020133233
113a17553434107
12146a19a76b215
136b40318b1c62
14307c9529d929
151653e59ca608
hexb329d962571

12312020133233 has 2 divisors, whose sum is σ = 12312020133234. Its totient is φ = 12312020133232.

The previous prime is 12312020133173. The next prime is 12312020133269. The reversal of 12312020133233 is 33233102021321.

12312020133233 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11664601961104 + 647418172129 = 3415348^2 + 804623^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12312020133233 is a prime.

It is a super-2 number, since 2×123120201332332 (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12312020133433) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6156010066616 + 6156010066617.

It is an arithmetic number, because the mean of its divisors is an integer number (6156010066617).

Almost surely, 212312020133233 is an apocalyptic number.

It is an amenable number.

12312020133233 is a deficient number, since it is larger than the sum of its proper divisors (1).

12312020133233 is an equidigital number, since it uses as much as digits as its factorization.

12312020133233 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3888, while the sum is 26.

Adding to 12312020133233 its reverse (33233102021321), we get a palindrome (45545122154554).

The spelling of 12312020133233 in words is "twelve trillion, three hundred twelve billion, twenty million, one hundred thirty-three thousand, two hundred thirty-three".