Search a number
-
+
12301010323 = 7267127163181
BaseRepresentation
bin10110111010011001…
…01000010110010011
31011202021112001212221
423131030220112103
5200143024312243
65352341201511
7613554601600
oct133514502623
934667461787
1012301010323
115242666138
122473700297
131210627444
148499b56a7
154bedcdbed
hex2dd328593

12301010323 has 48 divisors (see below), whose sum is σ = 14808428544. Its totient is φ = 10184771520.

The previous prime is 12301010321. The next prime is 12301010339. The reversal of 12301010323 is 32301010321.

12301010323 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12301010323 - 21 = 12301010321 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 12301010297 and 12301010306.

It is not an unprimeable number, because it can be changed into a prime (12301010321) 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 47 ways as a sum of consecutive naturals, for example, 67961293 + ... + 67961473.

It is an arithmetic number, because the mean of its divisors is an integer number (308508928).

Almost surely, 212301010323 is an apocalyptic number.

12301010323 is a deficient number, since it is larger than the sum of its proper divisors (2507418221).

12301010323 is a wasteful number, since it uses less digits than its factorization.

12301010323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 12301010323 its reverse (32301010321), we get a palindrome (44602020644).

The spelling of 12301010323 in words is "twelve billion, three hundred one million, ten thousand, three hundred twenty-three".

Divisors: 1 7 49 67 127 163 181 469 889 1141 1267 3283 6223 7987 8509 8869 10921 12127 20701 22987 29503 59563 76447 84889 144907 160909 206521 416941 535129 594223 1014349 1126363 1386967 1445647 1540129 1976701 3746881 9708769 10780903 13836907 26228167 67961383 75466321 96858349 183597169 251041027 1757287189 12301010323