Search a number
-
+
1023312323 = 11433496199
BaseRepresentation
bin111100111111101…
…000000111000011
32122022112122121102
4330333220013003
54043431443243
6245313045015
734234003565
oct7477500703
92568478542
101023312323
114856a6770
1224685676b
13134010167
1499c99335
155ec889b8
hex3cfe81c3

1023312323 has 16 divisors (see below), whose sum is σ = 1145760000. Its totient is φ = 905899680.

The previous prime is 1023312319. The next prime is 1023312379. The reversal of 1023312323 is 3232133201.

It is a cyclic number.

It is not a de Polignac number, because 1023312323 - 22 = 1023312319 is a prime.

It is a super-2 number, since 2×10233123232 = 2094336220807312658, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1023312295 and 1023312304.

It is not an unprimeable number, because it can be changed into a prime (1023311323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 161978 + ... + 168176.

It is an arithmetic number, because the mean of its divisors is an integer number (71610000).

Almost surely, 21023312323 is an apocalyptic number.

1023312323 is a deficient number, since it is larger than the sum of its proper divisors (122447677).

1023312323 is a wasteful number, since it uses less digits than its factorization.

1023312323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6602.

The product of its (nonzero) digits is 648, while the sum is 20.

The square root of 1023312323 is about 31989.2532423000. The cubic root of 1023312323 is about 1007.7111595120.

Adding to 1023312323 its reverse (3232133201), we get a palindrome (4255445524).

The spelling of 1023312323 in words is "one billion, twenty-three million, three hundred twelve thousand, three hundred twenty-three".

Divisors: 1 11 43 349 473 3839 6199 15007 68189 165077 266557 2163451 2932127 23797961 93028393 1023312323