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332023311029 is a prime number
BaseRepresentation
bin1001101010011100010…
…00011010101010110101
31011202000021102210001202
410311032020122222311
520414440431423104
6412310203502245
732662563402224
oct4651610325265
91152007383052
10332023311029
111188a0559903
1254421b27985
1325404440567
14120da192cbb
158983c5251e
hex4d4e21aab5

332023311029 has 2 divisors, whose sum is σ = 332023311030. Its totient is φ = 332023311028.

The previous prime is 332023311023. The next prime is 332023311041. The reversal of 332023311029 is 920113320233.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 185525748529 + 146497562500 = 430727^2 + 382750^2 .

It is a cyclic number.

It is not a de Polignac number, because 332023311029 - 212 = 332023306933 is a prime.

It is a super-2 number, since 2×3320233110292 (a number of 24 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 332023310992 and 332023311010.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (332023311023) 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, 166011655514 + 166011655515.

It is an arithmetic number, because the mean of its divisors is an integer number (166011655515).

Almost surely, 2332023311029 is an apocalyptic number.

It is an amenable number.

332023311029 is a deficient number, since it is larger than the sum of its proper divisors (1).

332023311029 is an equidigital number, since it uses as much as digits as its factorization.

332023311029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5832, while the sum is 29.

The spelling of 332023311029 in words is "three hundred thirty-two billion, twenty-three million, three hundred eleven thousand, twenty-nine".