Search a number
-
+
1023314103 = 32719854899
BaseRepresentation
bin111100111111101…
…000100010110111
32122022112202001100
4330333220202313
54043432022403
6245313101143
734234012020
oct7477504267
92568482040
101023314103
114856a8039
122468577b3
13134010c06
1499c99c47
155ec892a3
hex3cfe88b7

1023314103 has 24 divisors (see below), whose sum is σ = 1778192000. Its totient is φ = 553973904.

The previous prime is 1023314093. The next prime is 1023314161. The reversal of 1023314103 is 3014133201.

It is not a de Polignac number, because 1023314103 - 29 = 1023313591 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1073314103) 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 23 ways as a sum of consecutive naturals, for example, 426253 + ... + 428646.

Almost surely, 21023314103 is an apocalyptic number.

1023314103 is a deficient number, since it is larger than the sum of its proper divisors (754877897).

1023314103 is a wasteful number, since it uses less digits than its factorization.

1023314103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 854931 (or 854928 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1023314103 is about 31989.2810641315. The cubic root of 1023314103 is about 1007.7117437992.

Adding to 1023314103 its reverse (3014133201), we get a palindrome (4037447304).

It can be divided in two parts, 10233 and 14103, that added together give a square (24336 = 1562).

The spelling of 1023314103 in words is "one billion, twenty-three million, three hundred fourteen thousand, one hundred three".

Divisors: 1 3 7 9 19 21 57 63 133 171 399 1197 854899 2564697 5984293 7694091 16243081 17952879 48729243 53858637 113701567 146187729 341104701 1023314103