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12578800331 is a prime number
BaseRepresentation
bin10111011011100000…
…10100001011001011
31012110122020021010202
423231300110023023
5201230133102311
65440103202415
7623500016156
oct135560241313
935418207122
1012578800331
11537544a959
12253074640b
131256049c26
14874846c9d
154d94a1e3b
hex2edc142cb

12578800331 has 2 divisors, whose sum is σ = 12578800332. Its totient is φ = 12578800330.

The previous prime is 12578800307. The next prime is 12578800391. The reversal of 12578800331 is 13300887521.

It is a happy number.

12578800331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12578800331 is a prime.

It is a super-2 number, since 2×125788003312 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12578800391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6289400165 + 6289400166.

It is an arithmetic number, because the mean of its divisors is an integer number (6289400166).

Almost surely, 212578800331 is an apocalyptic number.

12578800331 is a deficient number, since it is larger than the sum of its proper divisors (1).

12578800331 is an equidigital number, since it uses as much as digits as its factorization.

12578800331 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 40320, while the sum is 38.

The spelling of 12578800331 in words is "twelve billion, five hundred seventy-eight million, eight hundred thousand, three hundred thirty-one".