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1023113213 is a prime number
BaseRepresentation
bin111100111110110…
…111011111111101
32122022011112110222
4330332313133331
54043404110323
6245304511125
734232214233
oct7476673775
92568145428
101023113213
11485580111
1224677b4a5
13133c70645
1499c46953
155ec499c8
hex3cfb77fd

1023113213 has 2 divisors, whose sum is σ = 1023113214. Its totient is φ = 1023113212.

The previous prime is 1023113149. The next prime is 1023113251. The reversal of 1023113213 is 3123113201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1006031524 + 17081689 = 31718^2 + 4133^2 .

It is a cyclic number.

It is not a de Polignac number, because 1023113213 - 26 = 1023113149 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1023113191 and 1023113200.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1023112213) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 511556606 + 511556607.

It is an arithmetic number, because the mean of its divisors is an integer number (511556607).

Almost surely, 21023113213 is an apocalyptic number.

It is an amenable number.

1023113213 is a deficient number, since it is larger than the sum of its proper divisors (1).

1023113213 is an equidigital number, since it uses as much as digits as its factorization.

1023113213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 1023113213 is about 31986.1409519811. The cubic root of 1023113213 is about 1007.6457971330.

Adding to 1023113213 its reverse (3123113201), we get a palindrome (4146226414).

The spelling of 1023113213 in words is "one billion, twenty-three million, one hundred thirteen thousand, two hundred thirteen".