Search a number
-
+
312332110012223 = 723110917231094831
BaseRepresentation
bin100011100000100000111110…
…0011110000001111100111111
31111221212122202202121100101122
41013001001330132001330333
5311414222130130342343
63024135220204301155
7122534151564151100
oct10701017436017477
91457778682540348
10312332110012223
1190578338691004
122b04407b8417bb
1310537a3a1a0522
14571ad51cd63a7
15261971ce0b068
hex11c107c781f3f

312332110012223 has 48 divisors (see below), whose sum is σ = 378706067435520. Its totient is φ = 256551251140800.

The previous prime is 312332110012213. The next prime is 312332110012243. The reversal of 312332110012223 is 322210011233213.

It is not a de Polignac number, because 312332110012223 - 24 = 312332110012207 is a prime.

It is a super-2 number, since 2×3123321100122232 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 312332110012192 and 312332110012201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312332110012213) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 284731418 + ... + 285826248.

It is an arithmetic number, because the mean of its divisors is an integer number (7889709738240).

Almost surely, 2312332110012223 is an apocalyptic number.

312332110012223 is a deficient number, since it is larger than the sum of its proper divisors (66373957423297).

312332110012223 is a wasteful number, since it uses less digits than its factorization.

312332110012223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1096708 (or 1096701 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 312332110012223 its reverse (322210011233213), we get a palindrome (634542121245436).

The spelling of 312332110012223 in words is "three hundred twelve trillion, three hundred thirty-two billion, one hundred ten million, twelve thousand, two hundred twenty-three".

Divisors: 1 7 31 49 109 217 763 1519 1723 3379 5341 12061 23653 53413 84427 165571 187807 373891 1094831 1314649 2617237 5822017 7663817 9202543 33939761 40754119 53646719 119336579 237578327 285278833 835356053 1663048289 1886393813 3699433949 5847492371 13204756691 25896037643 58478208203 92433296837 181272263501 205616925617 409347457421 1439318479319 2865432201947 6374124694127 10075229355233 44618872858889 312332110012223