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10123311303 = 327614995279
BaseRepresentation
bin10010110110110010…
…10111100011000111
3222010111210111102200
421123121113203013
5131213031430203
64352305405543
7505602504060
oct113331274307
928114714380
1010123311303
114325388686
121b663398b3
13c54403641
146c06a1567
153e3b199a3
hex25b6578c7

10123311303 has 48 divisors (see below), whose sum is σ = 17022720000. Its totient is φ = 5677439040.

The previous prime is 10123311229. The next prime is 10123311311. The reversal of 10123311303 is 30311332101.

It is a happy number.

It is not a de Polignac number, because 10123311303 - 210 = 10123310279 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10123311383) 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 47 ways as a sum of consecutive naturals, for example, 1915018 + ... + 1920296.

It is an arithmetic number, because the mean of its divisors is an integer number (354640000).

Almost surely, 210123311303 is an apocalyptic number.

10123311303 is a deficient number, since it is larger than the sum of its proper divisors (6899408697).

10123311303 is a wasteful number, since it uses less digits than its factorization.

10123311303 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5852 (or 5849 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 10123311303 its reverse (30311332101), we get a palindrome (40434643404).

The spelling of 10123311303 in words is "ten billion, one hundred twenty-three million, three hundred eleven thousand, three hundred three".

Divisors: 1 3 7 9 21 61 63 183 427 499 549 1281 1497 3493 3843 4491 5279 10479 15837 30439 31437 36953 47511 91317 110859 213073 273951 322019 332577 639219 966057 1917657 2254133 2634221 2898171 6762399 7902663 18439547 20287197 23707989 55318641 160687481 165955923 482062443 1124812367 1446187329 3374437101 10123311303