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1031020013 = 1210785159
BaseRepresentation
bin111101011101000…
…001110111101101
32122212001020120102
4331131001313231
54102420120023
6250150200445
734356345152
oct7535016755
92585036512
101031020013
11489a90661
12249353125
131357ab51a
149ad04229
15607ac628
hex3d741ded

1031020013 has 4 divisors (see below), whose sum is σ = 1031117280. Its totient is φ = 1030922748.

The previous prime is 1031019959. The next prime is 1031020027. The reversal of 1031020013 is 3100201301.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 3100201301 = 5653548417.

It is a cyclic number.

It is not a de Polignac number, because 1031020013 - 214 = 1031003629 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1031019976 and 1031020003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1031020033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 30473 + ... + 54686.

It is an arithmetic number, because the mean of its divisors is an integer number (257779320).

Almost surely, 21031020013 is an apocalyptic number.

It is an amenable number.

1031020013 is a deficient number, since it is larger than the sum of its proper divisors (97267).

1031020013 is an equidigital number, since it uses as much as digits as its factorization.

1031020013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97266.

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 1031020013 is about 32109.5003542565. The cubic root of 1031020013 is about 1010.2348939014.

Adding to 1031020013 its reverse (3100201301), we get a palindrome (4131221314).

The spelling of 1031020013 in words is "one billion, thirty-one million, twenty thousand, thirteen".

Divisors: 1 12107 85159 1031020013