Search a number
-
+
312233442114022 = 211132712104915881
BaseRepresentation
bin100011011111110011000001…
…1011001110111100111100110
31111221112020002102112210021121
41012333212003121313213212
5311411113042140122042
63024022021345004154
7122524056523644232
oct10677460331674746
91457466072483247
10312233442114022
119053a506189790
122b028b2402365a
131052b644658600
145716271b515c2
152616d95b03367
hex11bf9836779e6

312233442114022 has 144 divisors (see below), whose sum is σ = 561725156588400. Its totient is φ = 129030615168000.

The previous prime is 312233442113933. The next prime is 312233442114029. The reversal of 312233442114022 is 220411244332213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312233442114029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 19660809522 + ... + 19660825402.

It is an arithmetic number, because the mean of its divisors is an integer number (3900869142975).

Almost surely, 2312233442114022 is an apocalyptic number.

312233442114022 is a deficient number, since it is larger than the sum of its proper divisors (249491714474378).

312233442114022 is a wasteful number, since it uses less digits than its factorization.

312233442114022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17111 (or 17027 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 34.

Adding to 312233442114022 its reverse (220411244332213), we get a palindrome (532644686446235).

The spelling of 312233442114022 in words is "three hundred twelve trillion, two hundred thirty-three billion, four hundred forty-two million, one hundred fourteen thousand, twenty-two".

Divisors: 1 2 11 13 22 26 71 142 143 169 286 338 781 923 1049 1562 1846 1859 2098 3718 5041 10082 10153 11539 11999 13637 15881 20306 23078 23998 27274 31762 55451 65533 74479 110902 131066 131989 148958 150007 174691 177281 206453 263978 300014 349382 354562 412906 720863 819269 851929 968227 1127551 1441726 1638538 1703858 1936454 1950091 2255102 2270983 2683889 3900182 4541966 5288009 5367778 9371219 10576018 10650497 12403061 12586951 14658163 16659169 18742438 21300994 24806122 25173902 29316326 29522779 33318338 58168099 59045558 68744117 80056121 116336198 137488234 138456461 160112242 161239793 183250859 190556119 216569197 276912922 322479586 366501718 381112238 433138394 756185287 880617331 893673521 1040729573 1182800999 1512370574 1761234662 1787347042 2081459146 2096117309 2365601998 2382261167 2815399561 4192234618 4764522334 5630799122 9830408731 11448025303 13010810989 13529484449 15376412987 19660817462 22896050606 26021621978 27058968898 30752825974 30969395171 61938790342 83978870929 148824328939 167957741858 169140542857 199893368831 297648657878 338281085714 399786737662 923767580219 1091725322077 1847535160438 2183450644154 2198827057141 4397654114282 12008978542847 14192429187001 24017957085694 28384858374002 156116721057011 312233442114022