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313014522325230 = 234511169720701649
BaseRepresentation
bin100011100101011110101111…
…1011010011010100011101110
31112001021220012020202200020000
41013022331133122122203232
5312011412220203401410
63025420515244405130
7122634360443126205
oct10712753732324356
91461256166680200
10313014522325230
11908107936430a0
122b13438a2467a6
13105871b196ca8b
145741dab45c23c
15262c35ce01dc0
hex11caf5f69a8ee

313014522325230 has 160 divisors (see below), whose sum is σ = 918717034831200. Its totient is φ = 75837589217280.

The previous prime is 313014522325163. The next prime is 313014522325319. The reversal of 313014522325230 is 32523225410313.

313014522325230 is a `hidden beast` number, since 3 + 1 + 301 + 4 + 5 + 2 + 2 + 325 + 23 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 4769446 + ... + 25471094.

It is an arithmetic number, because the mean of its divisors is an integer number (5741981467695).

Almost surely, 2313014522325230 is an apocalyptic number.

313014522325230 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 313014522325230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459358517415600).

313014522325230 is an abundant number, since it is smaller than the sum of its proper divisors (605702512505970).

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

313014522325230 is a wasteful number, since it uses less digits than its factorization.

313014522325230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20703376 (or 20703367 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

Adding to 313014522325230 its reverse (32523225410313), we get a palindrome (345537747735543).

The spelling of 313014522325230 in words is "three hundred thirteen trillion, fourteen billion, five hundred twenty-two million, three hundred twenty-five thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 81 90 99 110 135 162 165 198 270 297 330 405 495 594 810 891 990 1485 1697 1782 2970 3394 4455 5091 8485 8910 10182 15273 16970 18667 25455 30546 37334 45819 50910 56001 76365 91638 93335 112002 137457 152730 168003 186670 229095 274914 280005 336006 458190 504009 560010 687285 840015 1008018 1374570 1512027 1680030 2520045 3024054 5040090 7560135 15120270 20701649 41403298 62104947 103508245 124209894 186314841 207016490 227718139 310524735 372629682 455436278 558944523 621049470 683154417 931574205 1117889046 1138590695 1366308834 1676833569 1863148410 2049463251 2277181390 2794722615 3353667138 3415772085 4098926502 5589445230 6148389753 6831544170 8384167845 10247316255 12296779506 16768335690 18445169259 20494632510 30741948765 35130698353 36890338518 61483897530 70261396706 92225846295 105392095059 175653491765 184451692590 210784190118 316176285177 351306983530 386437681883 526960475295 632352570354 772875363766 948528855531 1053920950590 1159313045649 1580881425885 1897057711062 1932188409415 2318626091298 2845586566593 3161762851770 3477939136947 3864376818830 4742644277655 5691173133186 5796565228245 6955878273894 9485288555310 10433817410841 11593130456490 14227932832965 17389695684735 20867634821682 28455865665930 31301452232523 34779391369470 52169087054205 62602904465046 104338174108410 156507261162615 313014522325230