Search a number
-
+
12310322325 = 3527178313151
BaseRepresentation
bin10110111011100000…
…01001110010010101
31011202221001011112220
423131300021302111
5200202420303300
65353312532553
7614030004360
oct133560116225
934687034486
1012310322325
115247946404
122476851159
131212537ac2
1484ad1b0d7
154c0b1cda0
hex2ddc09c95

12310322325 has 48 divisors (see below), whose sum is σ = 23275462656. Its totient is φ = 5623992000.

The previous prime is 12310322293. The next prime is 12310322341. The reversal of 12310322325 is 52322301321.

It is a happy number.

12310322325 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 12310322325 - 25 = 12310322293 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12310322295 and 12310322304.

It is a congruent number.

It is an unprimeable number.

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, 929500 + ... + 942650.

It is an arithmetic number, because the mean of its divisors is an integer number (484905472).

Almost surely, 212310322325 is an apocalyptic number.

12310322325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12310322325 is a deficient number, since it is larger than the sum of its proper divisors (10965140331).

12310322325 is a wasteful number, since it uses less digits than its factorization.

12310322325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14954 (or 14949 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

Adding to 12310322325 its reverse (52322301321), we get a palindrome (64632623646).

The spelling of 12310322325 in words is "twelve billion, three hundred ten million, three hundred twenty-two thousand, three hundred twenty-five".

Divisors: 1 3 5 7 15 21 25 35 75 105 175 525 1783 5349 8915 12481 13151 26745 37443 39453 44575 62405 65755 92057 133725 187215 197265 276171 312025 328775 460285 936075 986325 1380855 2301425 6904275 23448233 70344699 117241165 164137631 351723495 492412893 586205825 820688155 1758617475 2462064465 4103440775 12310322325