Search a number
-
+
10123241323 = 1329223120413
BaseRepresentation
bin10010110110110010…
…00110011101101011
3222010111122221102211
421123121012131223
5131213022210243
64352304105551
7505602063046
oct113331063553
928114587384
1010123241323
114325340048
121b663052b7
13c543aa830
146c0683c5d
153e3b03d9d
hex25b64676b

10123241323 has 16 divisors (see below), whose sum is σ = 11328549120. Its totient is φ = 8981771904.

The previous prime is 10123241267. The next prime is 10123241327. The reversal of 10123241323 is 32314232101.

It is a cyclic number.

It is not a de Polignac number, because 10123241323 - 225 = 10089686891 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10123241294 and 10123241303.

It is not an unprimeable number, because it can be changed into a prime (10123241327) 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 15 ways as a sum of consecutive naturals, for example, 23865 + ... + 144277.

It is an arithmetic number, because the mean of its divisors is an integer number (708034320).

Almost surely, 210123241323 is an apocalyptic number.

10123241323 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

10123241323 is a deficient number, since it is larger than the sum of its proper divisors (1205307797).

10123241323 is a wasteful number, since it uses less digits than its factorization.

10123241323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120678.

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 10123241323 its reverse (32314232101), we get a palindrome (42437473424).

The spelling of 10123241323 in words is "ten billion, one hundred twenty-three million, two hundred forty-one thousand, three hundred twenty-three".

Divisors: 1 13 29 223 377 2899 6467 84071 120413 1565369 3491977 26852099 45395701 349077287 778710871 10123241323