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2014133230230 = 2351123359739183
BaseRepresentation
bin11101010011110011101…
…100100001101010010110
321010112211102000100001120
4131103303230201222112
5230444421101331410
64141140253104410
7265342045656642
oct35236354415226
97115742010046
102014133230230
11707209777950
12286429188106
13117c166500b4
146d6ad927c22
15375d3b7b570
hex1d4f3b21a96

2014133230230 has 128 divisors (see below), whose sum is σ = 5517978992640. Its totient is φ = 465743794560.

The previous prime is 2014133230199. The next prime is 2014133230231. The reversal of 2014133230230 is 320323314102.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2014133230230.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2014133230231) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2355219 + ... + 3094401.

It is an arithmetic number, because the mean of its divisors is an integer number (43109210880).

Almost surely, 22014133230230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2014133230230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2758989496320).

2014133230230 is an abundant number, since it is smaller than the sum of its proper divisors (3503845762410).

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

2014133230230 is a wasteful number, since it uses less digits than its factorization.

2014133230230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 739586.

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 2014133230230 its reverse (320323314102), we get a palindrome (2334456544332).

The spelling of 2014133230230 in words is "two trillion, fourteen billion, one hundred thirty-three million, two hundred thirty thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 23 30 33 46 55 66 69 110 115 138 165 230 253 330 345 359 506 690 718 759 1077 1265 1518 1795 2154 2530 3590 3795 3949 5385 7590 7898 8257 10770 11847 16514 19745 23694 24771 39490 41285 49542 59235 82570 90827 118470 123855 181654 247710 272481 454135 544962 739183 908270 1362405 1478366 2217549 2724810 3695915 4435098 7391830 8131013 11087745 16262026 17001209 22175490 24393039 34002418 40655065 48786078 51003627 81310130 85006045 102007254 121965195 170012090 187013299 243930390 255018135 265366697 374026598 510036270 530733394 561039897 796100091 935066495 1122079794 1326833485 1592200182 1870132990 2653666970 2805199485 2919033667 3980500455 5610398970 5838067334 6103434031 7961000910 8757101001 12206868062 14595168335 17514202002 18310302093 29190336670 30517170155 36620604186 43785505005 61034340310 67137774341 87571010010 91551510465 134275548682 183103020930 201413323023 335688871705 402826646046 671377743410 1007066615115 2014133230230