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12331142401 is a prime number
BaseRepresentation
bin10110111101111111…
…00100110100000001
31011211101012221022211
423132333210310001
5200223233024101
65355335102121
7614401660324
oct133677446401
934741187284
1012331142401
115258676886
122481811941
131216947586
1484d9ba7bb
154c2881c51
hex2defe4d01

12331142401 has 2 divisors, whose sum is σ = 12331142402. Its totient is φ = 12331142400.

The previous prime is 12331142377. The next prime is 12331142489. The reversal of 12331142401 is 10424113321.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11690799376 + 640343025 = 108124^2 + 25305^2 .

It is a cyclic number.

It is not a de Polignac number, because 12331142401 - 225 = 12297587969 is a prime.

It is not a weakly prime, because it can be changed into another prime (12331152401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6165571200 + 6165571201.

It is an arithmetic number, because the mean of its divisors is an integer number (6165571201).

Almost surely, 212331142401 is an apocalyptic number.

It is an amenable number.

12331142401 is a deficient number, since it is larger than the sum of its proper divisors (1).

12331142401 is an equidigital number, since it uses as much as digits as its factorization.

12331142401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 12331142401 its reverse (10424113321), we get a palindrome (22755255722).

The spelling of 12331142401 in words is "twelve billion, three hundred thirty-one million, one hundred forty-two thousand, four hundred one".