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1031111113 is a prime number
BaseRepresentation
bin111101011101011…
…000000111001001
32122212012212112111
4331131120013021
54102431023423
6250152142321
734360204564
oct7535300711
92585185474
101031111113
1148a04304a
122493979a1
13135810b26
149ad294db
15607c960d
hex3d7581c9

1031111113 has 2 divisors, whose sum is σ = 1031111114. Its totient is φ = 1031111112.

The previous prime is 1031111111. The next prime is 1031111143. The reversal of 1031111113 is 3111111301.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1029639744 + 1471369 = 32088^2 + 1213^2 .

It is a cyclic number.

It is not a de Polignac number, because 1031111113 - 21 = 1031111111 is a prime.

Together with 1031111111, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 1031111093 and 1031111102.

It is not a weakly prime, because it can be changed into another prime (1031111111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 515555556 + 515555557.

It is an arithmetic number, because the mean of its divisors is an integer number (515555557).

Almost surely, 21031111113 is an apocalyptic number.

It is an amenable number.

1031111113 is a deficient number, since it is larger than the sum of its proper divisors (1).

1031111113 is an equidigital number, since it uses as much as digits as its factorization.

1031111113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9, while the sum is 13.

The square root of 1031111113 is about 32110.9189061914. The cubic root of 1031111113 is about 1010.2646475069.

Adding to 1031111113 its reverse (3111111301), we get a palindrome (4142222414).

The spelling of 1031111113 in words is "one billion, thirty-one million, one hundred eleven thousand, one hundred thirteen".