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1000700101 is a prime number
BaseRepresentation
bin111011101001010…
…111100011000101
32120201222211110201
4323221113203011
54022134400401
6243144250501
733540545002
oct7351274305
92521884421
101000700101
11473961885
1223b170a31
1312c423a4b
1496c908a9
155ccbdb01
hex3ba578c5

1000700101 has 2 divisors, whose sum is σ = 1000700102. Its totient is φ = 1000700100.

The previous prime is 1000700083. The next prime is 1000700117. The reversal of 1000700101 is 1010070001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 600740100 + 399960001 = 24510^2 + 19999^2 .

It is a cyclic number.

It is not a de Polignac number, because 1000700101 - 217 = 1000569029 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1000700201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500350050 + 500350051.

It is an arithmetic number, because the mean of its divisors is an integer number (500350051).

Almost surely, 21000700101 is an apocalyptic number.

It is an amenable number.

1000700101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000700101 is an equidigital number, since it uses as much as digits as its factorization.

1000700101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7, while the sum is 10.

The square root of 1000700101 is about 31633.8442336685. The cubic root of 1000700101 is about 1000.2333125610.

Adding to 1000700101 its reverse (1010070001), we get a palindrome (2010770102).

The spelling of 1000700101 in words is "one billion, seven hundred thousand, one hundred one".