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1000200013 is a prime number
BaseRepresentation
bin111011100111011…
…101011101001101
32120201001102110221
4323213131131031
54022022400023
6243125431341
733533363011
oct7347353515
92521042427
101000200013
1147365008a
1223ab6b551
1312c2aa237
1496ba0541
155cc2085d
hex3b9dd74d

1000200013 has 2 divisors, whose sum is σ = 1000200014. Its totient is φ = 1000200012.

The previous prime is 1000200001. The next prime is 1000200029. The reversal of 1000200013 is 3100020001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 563682564 + 436517449 = 23742^2 + 20893^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1000200013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1000199969 and 1000200005.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1000260013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500100006 + 500100007.

It is an arithmetic number, because the mean of its divisors is an integer number (500100007).

Almost surely, 21000200013 is an apocalyptic number.

It is an amenable number.

1000200013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000200013 is an equidigital number, since it uses as much as digits as its factorization.

1000200013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6, while the sum is 7.

The square root of 1000200013 is about 31625.9389267734. The cubic root of 1000200013 is about 1000.0666665555.

Adding to 1000200013 its reverse (3100020001), we get a palindrome (4100220014).

It can be divided in two parts, 100020001 and 3, that multiplied together give a palindrome (300060003).

The spelling of 1000200013 in words is "one billion, two hundred thousand, thirteen".