Search a number
-
+
12316315275 = 355211792333
BaseRepresentation
bin10110111100001110…
…00000111010001011
31011210100022122100000
423132013000322023
5200210434042100
65354045214043
7614131644465
oct133607007213
934710278300
1012316315275
115250269a60
122478861323
131213855824
1484ba3b135
154c1403900
hex2de1c0e8b

12316315275 has 144 divisors (see below), whose sum is σ = 25283381760. Its totient is φ = 5893430400.

The previous prime is 12316315229. The next prime is 12316315307. The reversal of 12316315275 is 57251361321.

12316315275 is a `hidden beast` number, since 1 + 2 + 316 + 315 + 27 + 5 = 666.

12316315275 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 12316315275 - 29 = 12316314763 is a prime.

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 143 ways as a sum of consecutive naturals, for example, 5278009 + ... + 5280341.

It is an arithmetic number, because the mean of its divisors is an integer number (175579040).

Almost surely, 212316315275 is an apocalyptic number.

12316315275 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12316315275 is an abundant number, since it is smaller than the sum of its proper divisors (12967066485).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12316315275 is a wasteful number, since it uses less digits than its factorization.

12316315275 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2448 (or 2431 counting only the distinct ones).

The product of its digits is 37800, while the sum is 36.

Adding to 12316315275 its reverse (57251361321), we get a palindrome (69567676596).

The spelling of 12316315275 in words is "twelve billion, three hundred sixteen million, three hundred fifteen thousand, two hundred seventy-five".

Divisors: 1 3 5 9 11 15 25 27 33 45 55 75 79 81 99 135 165 225 237 243 275 297 395 405 495 675 711 825 869 891 1185 1215 1485 1975 2025 2133 2333 2475 2607 2673 3555 4345 4455 5925 6075 6399 6999 7425 7821 10665 11665 13035 13365 17775 19197 20997 21725 22275 23463 25663 31995 34995 39105 53325 58325 62991 65175 66825 70389 76989 95985 104985 117315 128315 159975 174975 184307 188973 195525 211167 230967 314955 351945 384945 479925 524925 552921 566919 586575 641575 692901 921535 944865 1055835 1154835 1574775 1658763 1759725 1924725 2027377 2078703 2764605 2834595 3464505 4607675 4724325 4976289 5279175 5774175 6082131 6236109 8293815 10136885 10393515 13823025 14172975 14928867 17322525 18246393 24881445 30410655 31180545 41469075 44786601 50684425 51967575 54739179 74644335 91231965 124407225 152053275 155902725 164217537 223933005 273695895 373221675 456159825 492652611 821087685 1119665025 1368479475 2463263055 4105438425 12316315275