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33367000020097 is a prime number
BaseRepresentation
bin1111001011000110111000…
…01011101111010010000001
311101010212001121020201210011
413211203130023233102001
513333141104001120342
6154544331014504521
710012454236345342
oct745433413572201
9141125047221704
1033367000020097
11a6a49576a9867
1238aa8b8965141
13158065783a053
14834d857dc0c9
153cce43c4e717
hex1e58dc2ef481

33367000020097 has 2 divisors, whose sum is σ = 33367000020098. Its totient is φ = 33367000020096.

The previous prime is 33367000020083. The next prime is 33367000020227. The reversal of 33367000020097 is 79002000076333.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 32626498465521 + 740501554576 = 5711961^2 + 860524^2 .

It is an emirp because it is prime and its reverse (79002000076333) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-33367000020097 is a prime.

It is a super-2 number, since 2×333670000200972 (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (33367007020097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16683500010048 + 16683500010049.

It is an arithmetic number, because the mean of its divisors is an integer number (16683500010049).

Almost surely, 233367000020097 is an apocalyptic number.

It is an amenable number.

33367000020097 is a deficient number, since it is larger than the sum of its proper divisors (1).

33367000020097 is an equidigital number, since it uses as much as digits as its factorization.

33367000020097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 142884, while the sum is 40.

The spelling of 33367000020097 in words is "thirty-three trillion, three hundred sixty-seven billion, twenty thousand, ninety-seven".