Search a number
-
+
10021242043230 = 23511711283333367
BaseRepresentation
bin1001000111010100000010…
…0100100111101101011110
31022111000120120212212002020
42101311000210213231132
52303142000430340410
633151410043441010
72053003501624425
oct221650044475536
938430516785066
1010021242043230
113213a91975550
12115a225826166
13578ccac58182
1426906036a2bc
15125a1ec51a70
hex91d40927b5e

10021242043230 has 128 divisors (see below), whose sum is σ = 26627793002496. Its totient is φ = 2393301187200.

The previous prime is 10021242043093. The next prime is 10021242043243. The reversal of 10021242043230 is 3234024212001.

It is a happy number.

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 10021242043230.

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, 29894007 + ... + 30227373.

It is an arithmetic number, because the mean of its divisors is an integer number (208029632832).

Almost surely, 210021242043230 is an apocalyptic number.

10021242043230 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 10021242043230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13313896501248).

10021242043230 is an abundant number, since it is smaller than the sum of its proper divisors (16606550959266).

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

10021242043230 is a wasteful number, since it uses less digits than its factorization.

10021242043230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334742.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 10021242043230 its reverse (3234024212001), we get a palindrome (13255266255231).

The spelling of 10021242043230 in words is "ten trillion, twenty-one billion, two hundred forty-two million, forty-three thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 71 110 142 165 213 330 355 426 710 781 1065 1283 1562 2130 2343 2566 3849 3905 4686 6415 7698 7810 11715 12830 14113 19245 23430 28226 38490 42339 70565 84678 91093 141130 182186 211695 273279 333367 423390 455465 546558 666734 910930 1000101 1002023 1366395 1666835 2000202 2004046 2732790 3006069 3333670 3667037 5000505 5010115 6012138 7334074 10001010 10020230 11001111 15030345 18335185 22002222 23669057 30060690 36670370 47338114 55005555 71007171 110011110 118345285 142014342 236690570 260359627 355035855 427709861 520719254 710071710 781078881 855419722 1283129583 1301798135 1562157762 2138549305 2566259166 2603596270 3905394405 4277098610 4704808471 6415647915 7810788810 9409616942 12831295830 14114425413 23524042355 28228850826 30367400131 47048084710 60734800262 70572127065 91102200393 141144254130 151837000655 182204400786 303674001310 334041401441 455511001965 668082802882 911022003930 1002124204323 1670207007205 2004248408646 3340414014410 5010621021615 10021242043230