Search a number
-
+
5305013122230 = 2335107419438253
BaseRepresentation
bin100110100110010101101…
…1011000011010010110110
3200210011011111010011001000
41031030223123003102312
51143404131324402410
615141031150144130
71055163112344303
oct115145333032266
920704144104030
105305013122230
111765930673788
127181921b2046
132c6350697493
14144a9a6040aa
1592ee0079dc0
hex4d32b6c34b6

5305013122230 has 128 divisors (see below), whose sum is σ = 14313025036800. Its totient is φ = 1398101012352.

The previous prime is 5305013122229. The next prime is 5305013122271. The reversal of 5305013122230 is 322213105035.

It is a happy number.

5305013122230 is a `hidden beast` number, since 5 + 3 + 0 + 501 + 3 + 122 + 2 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 5305013122194 and 5305013122203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11885784 + ... + 12324036.

It is an arithmetic number, because the mean of its divisors is an integer number (111820508100).

Almost surely, 25305013122230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5305013122230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7156512518400).

5305013122230 is an abundant number, since it is smaller than the sum of its proper divisors (9008011914570).

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

5305013122230 is a wasteful number, since it uses less digits than its factorization.

5305013122230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438795 (or 438789 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

Adding to 5305013122230 its reverse (322213105035), we get a palindrome (5627226227265).

The spelling of 5305013122230 in words is "five trillion, three hundred five billion, thirteen million, one hundred twenty-two thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 107 135 214 270 321 419 535 642 838 963 1070 1257 1605 1926 2095 2514 2889 3210 3771 4190 4815 5778 6285 7542 9630 11313 12570 14445 18855 22626 28890 37710 44833 56565 89666 113130 134499 224165 268998 403497 438253 448330 672495 806994 876506 1210491 1314759 1344990 2017485 2191265 2420982 2629518 3944277 4034970 4382530 6052455 6573795 7888554 11832831 12104910 13147590 19721385 23665662 39442770 46893071 59164155 93786142 118328310 140679213 183628007 234465355 281358426 367256014 422037639 468930710 550884021 703396065 844075278 918140035 1101768042 1266112917 1406792130 1652652063 1836280070 2110188195 2532225834 2754420105 3305304126 4220376390 4957956189 5508840210 6330564585 8263260315 9915912378 12661129170 16526520630 19648196749 24789780945 39296393498 49579561890 58944590247 98240983745 117889180494 176833770741 196481967490 294722951235 353667541482 530501312223 589445902470 884168853705 1061002624446 1768337707410 2652506561115 5305013122230