Search a number
-
+
13124204034030 = 2335591613510767
BaseRepresentation
bin1011111011111011011110…
…0001001111011111101110
31201110122212100022012022000
42332332313201033133232
53210011332213042110
643525102012033130
72523123003435645
oct276766741173756
951418770265260
1013124204034030
1141aaa42036901
12157b6854627a6
137427b7b3168b
1433530183435c
1517b5cd7671c0
hexbefb784f7ee

13124204034030 has 128 divisors (see below), whose sum is σ = 35613196646400. Its totient is φ = 3438329611392.

The previous prime is 13124204034013. The next prime is 13124204034101. The reversal of 13124204034030 is 3043040242131.

13124204034030 is a `hidden beast` number, since 1 + 31 + 24 + 204 + 0 + 3 + 403 + 0 = 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 = 13124204033985 and 13124204034003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25439707 + ... + 25950473.

It is an arithmetic number, because the mean of its divisors is an integer number (278228098800).

Almost surely, 213124204034030 is an apocalyptic number.

13124204034030 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 13124204034030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17806598323200).

13124204034030 is an abundant number, since it is smaller than the sum of its proper divisors (22488992612370).

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

13124204034030 is a wasteful number, since it uses less digits than its factorization.

13124204034030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512455 (or 512449 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 13124204034030 its reverse (3043040242131), we get a palindrome (16167244276161).

The spelling of 13124204034030 in words is "thirteen trillion, one hundred twenty-four billion, two hundred four million, thirty-four thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 59 90 118 135 177 270 295 354 531 590 885 1062 1593 1613 1770 2655 3186 3226 4839 5310 7965 8065 9678 14517 15930 16130 24195 29034 43551 48390 72585 87102 95167 145170 190334 217755 285501 435510 475835 510767 571002 856503 951670 1021534 1427505 1532301 1713006 2553835 2569509 2855010 3064602 4282515 4596903 5107670 5139018 7661505 8565030 9193806 12847545 13790709 15323010 22984515 25695090 27581418 30135253 45969030 60270506 68953545 90405759 137907090 150676265 180811518 271217277 301352530 452028795 542434554 813651831 823867171 904057590 1356086385 1627303662 1647734342 2471601513 2712172770 4068259155 4119335855 4943203026 7414804539 8136518310 8238671710 12358007565 14829609078 22244413617 24716015130 37074022695 44488827234 48608163089 74148045390 97216326178 111222068085 145824489267 222444136170 243040815445 291648978534 437473467801 486081630890 729122446335 874946935602 1312420403403 1458244892670 2187367339005 2624840806806 4374734678010 6562102017015 13124204034030