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1023131113 is a prime number
BaseRepresentation
bin111100111110111…
…011110111101001
32122022012110000221
4330332323313221
54043410143423
6245305130041
734232320354
oct7476736751
92568173027
101023131113
11485592604
12246789921
13133c78834
1499c4d29b
155ec4ee5d
hex3cfbbde9

1023131113 has 2 divisors, whose sum is σ = 1023131114. Its totient is φ = 1023131112.

The previous prime is 1023131069. The next prime is 1023131117. The reversal of 1023131113 is 3111313201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 812649049 + 210482064 = 28507^2 + 14508^2 .

It is a cyclic number.

It is not a de Polignac number, because 1023131113 - 213 = 1023122921 is a prime.

It is not a weakly prime, because it can be changed into another prime (1023131117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 511565556 + 511565557.

It is an arithmetic number, because the mean of its divisors is an integer number (511565557).

Almost surely, 21023131113 is an apocalyptic number.

It is an amenable number.

1023131113 is a deficient number, since it is larger than the sum of its proper divisors (1).

1023131113 is an equidigital number, since it uses as much as digits as its factorization.

1023131113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 54, while the sum is 16.

The square root of 1023131113 is about 31986.4207594410. The cubic root of 1023131113 is about 1007.6516735614.

Adding to 1023131113 its reverse (3111313201), we get a palindrome (4134444314).

The spelling of 1023131113 in words is "one billion, twenty-three million, one hundred thirty-one thousand, one hundred thirteen".