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1000120001 is a prime number
BaseRepresentation
bin111011100111001…
…001111011000001
32120200220100201112
4323213021323001
54022012320001
6243124013105
733532610516
oct7347117301
92520810645
101000120001
114735a5a61
1223ab31195
1312c27c9aa
1496b7d30d
155cc06cbb
hex3b9c9ec1

1000120001 has 2 divisors, whose sum is σ = 1000120002. Its totient is φ = 1000120000.

The previous prime is 1000119983. The next prime is 1000120007. The reversal of 1000120001 is 1000210001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 998560000 + 1560001 = 31600^2 + 1249^2 .

It is a cyclic number.

It is not a de Polignac number, because 1000120001 - 226 = 933011137 is a prime.

It is not a weakly prime, because it can be changed into another prime (1000120007) 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, 500060000 + 500060001.

It is an arithmetic number, because the mean of its divisors is an integer number (500060001).

Almost surely, 21000120001 is an apocalyptic number.

It is an amenable number.

1000120001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000120001 is an equidigital number, since it uses as much as digits as its factorization.

1000120001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2, while the sum is 5.

The square root of 1000120001 is about 31624.6739271728. The cubic root of 1000120001 is about 1000.0399987334.

Adding to 1000120001 its reverse (1000210001), we get a palindrome (2000330002).

Subtracting 1000120001 from its reverse (1000210001), we obtain a square (90000 = 3002).

It can be divided in two parts, 10001 and 20001, that multiplied together give a triangular number (200030001 = T20001).

The spelling of 1000120001 in words is "one billion, one hundred twenty thousand, one".