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1043100013 is a prime number
BaseRepresentation
bin111110001011000…
…111000101101101
32200200202222012211
4332023013011231
54114013200023
6251301130421
734564126624
oct7613070555
92620688184
101043100013
1149589152a
122513b9a11
1313814aa57
149c76a6bb
1561896a0d
hex3e2c716d

1043100013 has 2 divisors, whose sum is σ = 1043100014. Its totient is φ = 1043100012.

The previous prime is 1043100001. The next prime is 1043100017. The reversal of 1043100013 is 3100013401.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 933730249 + 109369764 = 30557^2 + 10458^2 .

It is a cyclic number.

It is not a de Polignac number, because 1043100013 - 221 = 1041002861 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1043099966 and 1043100002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1043100017) 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, 521550006 + 521550007.

It is an arithmetic number, because the mean of its divisors is an integer number (521550007).

Almost surely, 21043100013 is an apocalyptic number.

It is an amenable number.

1043100013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1043100013 is an equidigital number, since it uses as much as digits as its factorization.

1043100013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 1043100013 is about 32297.0588908650. The cubic root of 1043100013 is about 1014.1650742668.

Adding to 1043100013 its reverse (3100013401), we get a palindrome (4143113414).

The spelling of 1043100013 in words is "one billion, forty-three million, one hundred thousand, thirteen".