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1020311081 is a prime number
BaseRepresentation
bin111100110100001…
…011011000101001
32122002220011200022
4330310023120221
54042144423311
6245124450225
734166333606
oct7464133051
92562804608
101020311081
11483a368a9
12245849975
131334cc08a
14997176ad
155e8945db
hex3cd0b629

1020311081 has 2 divisors, whose sum is σ = 1020311082. Its totient is φ = 1020311080.

The previous prime is 1020311057. The next prime is 1020311093. The reversal of 1020311081 is 1801130201.

1020311081 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 966215056 + 54096025 = 31084^2 + 7355^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1020311081 is a prime.

It is a super-3 number, since 3×10203110813 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (1020311011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 510155540 + 510155541.

It is an arithmetic number, because the mean of its divisors is an integer number (510155541).

Almost surely, 21020311081 is an apocalyptic number.

It is an amenable number.

1020311081 is a deficient number, since it is larger than the sum of its proper divisors (1).

1020311081 is an equidigital number, since it uses as much as digits as its factorization.

1020311081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 17.

The square root of 1020311081 is about 31942.3086360394. The cubic root of 1020311081 is about 1006.7250328838.

Adding to 1020311081 its reverse (1801130201), we get a palindrome (2821441282).

The spelling of 1020311081 in words is "one billion, twenty million, three hundred eleven thousand, eighty-one".