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1311010993 is a prime number
BaseRepresentation
bin100111000100100…
…0111000010110001
310101100220020222201
41032021013002301
510141104322433
6334031303201
744326260325
oct11611070261
93340806881
101311010993
11613038a66
1230707ab01
1317b7c1a66
14c6189985
157a167a7d
hex4e2470b1

1311010993 has 2 divisors, whose sum is σ = 1311010994. Its totient is φ = 1311010992.

The previous prime is 1311010991. The next prime is 1311010999. The reversal of 1311010993 is 3990101131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1001849104 + 309161889 = 31652^2 + 17583^2 .

It is a cyclic number.

It is not a de Polignac number, because 1311010993 - 21 = 1311010991 is a prime.

Together with 1311010991, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (1311010991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 655505496 + 655505497.

It is an arithmetic number, because the mean of its divisors is an integer number (655505497).

Almost surely, 21311010993 is an apocalyptic number.

It is an amenable number.

1311010993 is a deficient number, since it is larger than the sum of its proper divisors (1).

1311010993 is an equidigital number, since it uses as much as digits as its factorization.

1311010993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 729, while the sum is 28.

The square root of 1311010993 is about 36207.8857847293. The cubic root of 1311010993 is about 1094.4655880039.

The spelling of 1311010993 in words is "one billion, three hundred eleven million, ten thousand, nine hundred ninety-three".