Search a number
-
+
312302011330122 = 23111631811249128411
BaseRepresentation
bin100011100000010010111101…
…0011100101010111001001010
31111221202210002010121212121220
41013000211322130222321022
5311413224004400030442
63024113321405142510
7122532034655446242
oct10700457234527112
91457683063555556
10312302011330122
11905665a2776720
122b03a27b85aa36
1310534c51536768
1457196d8720b22
152618a5a7dceec
hex11c097a72ae4a

312302011330122 has 128 divisors (see below), whose sum is σ = 689911447680000. Its totient is φ = 93461112576000.

The previous prime is 312302011330121. The next prime is 312302011330201. The reversal of 312302011330122 is 221033110203213.

It is a junction number, because it is equal to n+sod(n) for n = 312302011330092 and 312302011330101.

It is not an unprimeable number, because it can be changed into a prime (312302011330121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2431986097 + ... + 2432114507.

It is an arithmetic number, because the mean of its divisors is an integer number (5389933185000).

Almost surely, 2312302011330122 is an apocalyptic number.

312302011330122 is an abundant number, since it is smaller than the sum of its proper divisors (377609436349878).

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

312302011330122 is a wasteful number, since it uses less digits than its factorization.

312302011330122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130020.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 312302011330122 its reverse (221033110203213), we get a palindrome (533335121533335).

The spelling of 312302011330122 in words is "three hundred twelve trillion, three hundred two billion, eleven million, three hundred thirty thousand, one hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 66 163 181 326 362 489 543 978 1086 1249 1793 1991 2498 3586 3747 3982 5379 5973 7494 10758 11946 13739 27478 29503 41217 59006 82434 88509 128411 177018 203587 226069 256822 324533 385233 407174 452138 610761 649066 678207 770466 973599 1221522 1356414 1412521 1947198 2239457 2486759 2825042 4237563 4478914 4973518 6718371 7460277 8475126 13436742 14920554 20930993 23242391 36849247 41861986 46484782 62792979 69727173 73698494 110547741 125585958 139454346 160385339 221095482 230240923 255666301 320770678 405341717 460481846 481156017 511332602 690722769 766998903 810683434 962312034 1216025151 1381445538 1533997806 1764238729 2432050302 3528477458 3788509733 5292716187 7577019466 10585432374 11365529199 22731058398 26142810257 29029746359 41673607063 52285620514 58059492718 78428430771 83347214126 87089239077 125020821189 156856861542 174178478154 250041642378 287570912827 319327209949 575141825654 638654419898 862712738481 957981629847 1725425476962 1915963259694 4731848656517 9463697313034 14195545969551 28391091939102 52050335221687 104100670443374 156151005665061 312302011330122