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311332033097 is a prime number
BaseRepresentation
bin1001000011111001101…
…01011101001001001001
31002202121021010221202122
410201330311131021021
520100102000024342
6355005101541025
731331045421611
oct4417465351111
91082537127678
10311332033097
111100428a8508
1250408574775
132348778b537
14110d6163a41
1581724884d2
hex487cd5d249

311332033097 has 2 divisors, whose sum is σ = 311332033098. Its totient is φ = 311332033096.

The previous prime is 311332033091. The next prime is 311332033127. The reversal of 311332033097 is 790330233113.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 309087073936 + 2244959161 = 555956^2 + 47381^2 .

It is a cyclic number.

It is not a de Polignac number, because 311332033097 - 210 = 311332032073 is a prime.

It is a super-2 number, since 2×3113320330972 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (311332033091) 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, 155666016548 + 155666016549.

It is an arithmetic number, because the mean of its divisors is an integer number (155666016549).

Almost surely, 2311332033097 is an apocalyptic number.

It is an amenable number.

311332033097 is a deficient number, since it is larger than the sum of its proper divisors (1).

311332033097 is an equidigital number, since it uses as much as digits as its factorization.

311332033097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 30618, while the sum is 35.

The spelling of 311332033097 in words is "three hundred eleven billion, three hundred thirty-two million, thirty-three thousand, ninety-seven".