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1005035113 is a prime number
BaseRepresentation
bin111011111001111…
…001111001101001
32121001011001222201
4323321321321221
54024242110423
6243421220201
733622441345
oct7371717151
92531131881
101005035113
11476352835
12240701661
131302b0c44
149769c625
155d3782ad
hex3be79e69

1005035113 has 2 divisors, whose sum is σ = 1005035114. Its totient is φ = 1005035112.

The previous prime is 1005035111. The next prime is 1005035137. The reversal of 1005035113 is 3115305001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 758011024 + 247024089 = 27532^2 + 15717^2 .

It is a cyclic number.

It is not a de Polignac number, because 1005035113 - 21 = 1005035111 is a prime.

Together with 1005035111, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (1005035111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 502517556 + 502517557.

It is an arithmetic number, because the mean of its divisors is an integer number (502517557).

Almost surely, 21005035113 is an apocalyptic number.

It is an amenable number.

1005035113 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005035113 is an equidigital number, since it uses as much as digits as its factorization.

1005035113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 225, while the sum is 19.

The square root of 1005035113 is about 31702.2887659551. The cubic root of 1005035113 is about 1001.6755619242.

The spelling of 1005035113 in words is "one billion, five million, thirty-five thousand, one hundred thirteen".