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333113132993 is a prime number
BaseRepresentation
bin1001101100011110001…
…01110000011111000001
31011211211020010110202012
410312033011300133001
520424203430223433
6413010254302305
733031565624564
oct4661705603701
91154736113665
10333113132993
111192aa752213
1254686ab7995
1325549169624
14121a0c024db
1589e9777848
hex4d8f1707c1

333113132993 has 2 divisors, whose sum is σ = 333113132994. Its totient is φ = 333113132992.

The previous prime is 333113132981. The next prime is 333113133037. The reversal of 333113132993 is 399231311333.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 319618361104 + 13494771889 = 565348^2 + 116167^2 .

It is an emirp because it is prime and its reverse (399231311333) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 333113132993 - 212 = 333113128897 is a prime.

It is a super-2 number, since 2×3331131329932 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 333113132993.

It is not a weakly prime, because it can be changed into another prime (333113132293) 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, 166556566496 + 166556566497.

It is an arithmetic number, because the mean of its divisors is an integer number (166556566497).

Almost surely, 2333113132993 is an apocalyptic number.

It is an amenable number.

333113132993 is a deficient number, since it is larger than the sum of its proper divisors (1).

333113132993 is an equidigital number, since it uses as much as digits as its factorization.

333113132993 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 118098, while the sum is 41.

The spelling of 333113132993 in words is "three hundred thirty-three billion, one hundred thirteen million, one hundred thirty-two thousand, nine hundred ninety-three".