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12033131000801 is a prime number
BaseRepresentation
bin1010111100011010111001…
…1111111011001111100001
31120121100121120220022211012
42233012232133323033201
53034122323014011201
641331535530230305
72351236126613411
oct257065637731741
946540546808735
1012033131000801
11391a2498240a9
121424127285395
13693947645381
142d8599bb0641
1515d0218685bb
hexaf1ae7fb3e1

12033131000801 has 2 divisors, whose sum is σ = 12033131000802. Its totient is φ = 12033131000800.

The previous prime is 12033131000777. The next prime is 12033131000911. The reversal of 12033131000801 is 10800013133021.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8193471155776 + 3839659845025 = 2862424^2 + 1959505^2 .

It is a cyclic number.

It is not a de Polignac number, because 12033131000801 - 214 = 12033130984417 is a prime.

It is not a weakly prime, because it can be changed into another prime (12033131006801) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6016565500400 + 6016565500401.

It is an arithmetic number, because the mean of its divisors is an integer number (6016565500401).

Almost surely, 212033131000801 is an apocalyptic number.

It is an amenable number.

12033131000801 is a deficient number, since it is larger than the sum of its proper divisors (1).

12033131000801 is an equidigital number, since it uses as much as digits as its factorization.

12033131000801 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 432, while the sum is 23.

Adding to 12033131000801 its reverse (10800013133021), we get a palindrome (22833144133822).

The spelling of 12033131000801 in words is "twelve trillion, thirty-three billion, one hundred thirty-one million, eight hundred one", and thus it is an aban number.