Search a number
-
+
13101301210230 = 23252112148132117
BaseRepresentation
bin1011111010100110001001…
…1001111001110001110110
31201101110202012121012101200
42332221202121321301312
53204122431102211410
643510353225033330
72521352312600622
oct276514231716166
951343665535350
1013101301210230
1141a1259a8a352
121577153325846
137405a7c3792c
1433416bc00182
1517abdcc503c0
hexbea62679c76

13101301210230 has 96 divisors (see below), whose sum is σ = 34227479920608. Its totient is φ = 3476852467200.

The previous prime is 13101301210177. The next prime is 13101301210243. The reversal of 13101301210230 is 3201210310131.

13101301210230 is a `hidden beast` number, since 1 + 310 + 1 + 3 + 0 + 121 + 0 + 230 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 407908132 + ... + 407940248.

It is an arithmetic number, because the mean of its divisors is an integer number (356536249173).

Almost surely, 213101301210230 is an apocalyptic number.

13101301210230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13101301210230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17113739960304).

13101301210230 is an abundant number, since it is smaller than the sum of its proper divisors (21126178710378).

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

13101301210230 is a wasteful number, since it uses less digits than its factorization.

13101301210230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53822 (or 53819 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 13101301210230 its reverse (3201210310131), we get a palindrome (16302511520361).

Subtracting from 13101301210230 its reverse (3201210310131), we obtain a palindrome (9900090900099).

The spelling of 13101301210230 in words is "thirteen trillion, one hundred one billion, three hundred one million, two hundred ten thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 211 422 633 1055 1266 1899 2110 3165 3798 6330 9495 18990 21481 32117 42962 64234 64443 96351 107405 128886 160585 192702 193329 214810 289053 321170 322215 386658 481755 578106 644430 963510 966645 1445265 1933290 2890530 4532491 6776687 9064982 13553374 13597473 20330061 22662455 27194946 33883435 40660122 40792419 45324910 60990183 67766870 67987365 81584838 101650305 121980366 135974730 203300610 203962095 304950915 407924190 609901830 689905277 1379810554 2069715831 3449526385 4139431662 6209147493 6899052770 10348579155 12418294986 20697158310 31045737465 62091474930 145570013447 291140026894 436710040341 727850067235 873420080682 1310130121023 1455700134470 2183550201705 2620260242046 4367100403410 6550650605115 13101301210230