Search a number
-
+
10023301323 = 327297153551
BaseRepresentation
bin10010101010110111…
…10111000011001011
3221212112121110112100
421111123313003023
5131011431120243
64334334044443
7503246440560
oct112533670313
927775543470
1010023301323
11428398a702
121b38949723
13c39788439
146b12aa867
153d9e620d3
hex2556f70cb

10023301323 has 24 divisors (see below), whose sum is σ = 16552280576. Its totient is φ = 5725566000.

The previous prime is 10023301297. The next prime is 10023301373. The reversal of 10023301323 is 32310332001.

10023301323 is a `hidden beast` number, since 10 + 0 + 2 + 330 + 1 + 323 = 666.

It is not a de Polignac number, because 10023301323 - 214 = 10023284939 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10023301296 and 10023301305.

It is not an unprimeable number, because it can be changed into a prime (10023301373) 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, 160398 + ... + 213948.

Almost surely, 210023301323 is an apocalyptic number.

10023301323 is a deficient number, since it is larger than the sum of its proper divisors (6528979253).

10023301323 is a wasteful number, since it uses less digits than its factorization.

10023301323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56535 (or 56532 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 10023301323 its reverse (32310332001), we get a palindrome (42333633324).

The spelling of 10023301323 in words is "ten billion, twenty-three million, three hundred one thousand, three hundred twenty-three".

Divisors: 1 3 7 9 21 63 2971 8913 20797 26739 53551 62391 160653 187173 374857 481959 1124571 3373713 159100021 477300063 1113700147 1431900189 3341100441 10023301323