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333131013401 is a prime number
BaseRepresentation
bin1001101100100000010…
…01111101110100011001
31011211212110202220001112
410312100021331310121
520424223014412101
6413012133430105
733032203615214
oct4662011756431
91154773686045
10333131013401
1111930985500a
1254690a9b335
132554ca8a054
14121a333877b
1589eb10a6bb
hex4d9027dd19

333131013401 has 2 divisors, whose sum is σ = 333131013402. Its totient is φ = 333131013400.

The previous prime is 333131013343. The next prime is 333131013431. The reversal of 333131013401 is 104310131333.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 326525387776 + 6605625625 = 571424^2 + 81275^2 .

It is a cyclic number.

It is not a de Polignac number, because 333131013401 - 218 = 333130751257 is a prime.

It is a super-2 number, since 2×3331310134012 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (333131013431) 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, 166565506700 + 166565506701.

It is an arithmetic number, because the mean of its divisors is an integer number (166565506701).

Almost surely, 2333131013401 is an apocalyptic number.

It is an amenable number.

333131013401 is a deficient number, since it is larger than the sum of its proper divisors (1).

333131013401 is an equidigital number, since it uses as much as digits as its factorization.

333131013401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 333131013401 its reverse (104310131333), we get a palindrome (437441144734).

The spelling of 333131013401 in words is "three hundred thirty-three billion, one hundred thirty-one million, thirteen thousand, four hundred one".