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13430033003430 = 23252310636103423
BaseRepresentation
bin1100001101101110110001…
…0110001011001110100110
31202112220021002110112211200
43003123230112023032212
53230014201422102210
644321401052143330
72554200510666231
oct303335426131646
952486232415750
1013430033003430
11430871056808a
12160a9b6a67b46
137655a64758b4
14346034b84418
1518452ca280c0
hexc36ec58b3a6

13430033003430 has 96 divisors (see below), whose sum is σ = 36470546251776. Its totient is φ = 3422408438592.

The previous prime is 13430033003419. The next prime is 13430033003437. The reversal of 13430033003430 is 3430033003431.

13430033003430 is a `hidden beast` number, since 13 + 4 + 3 + 0 + 0 + 3 + 300 + 343 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 13430033003394 and 13430033003403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13430033003437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 851302 + ... + 5252121.

It is an arithmetic number, because the mean of its divisors is an integer number (379901523456).

Almost surely, 213430033003430 is an apocalyptic number.

13430033003430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13430033003430 is an abundant number, since it is smaller than the sum of its proper divisors (23040513248346).

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

13430033003430 is a wasteful number, since it uses less digits than its factorization.

13430033003430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6104522 (or 6104519 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 27.

Adding to 13430033003430 its reverse (3430033003431), we get a palindrome (16860066006861).

Subtracting from 13430033003430 its reverse (3430033003431), we obtain a palindrome (9999999999999).

The spelling of 13430033003430 in words is "thirteen trillion, four hundred thirty billion, thirty-three million, three thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 69 90 115 138 207 230 345 414 690 1035 1063 2070 2126 3189 5315 6378 9567 10630 15945 19134 24449 31890 47835 48898 73347 95670 122245 146694 220041 244490 366735 440082 733470 1100205 2200410 6103423 12206846 18310269 30517115 36620538 54930807 61034230 91551345 109861614 140378729 183102690 274654035 280757458 421136187 549308070 701893645 842272374 1263408561 1403787290 2105680935 2526817122 4211361870 6317042805 6487938649 12634085610 12975877298 19463815947 32439693245 38927631894 58391447841 64879386490 97319079735 116782895682 149222588927 194638159470 291957239205 298445177854 447667766781 583914478410 746112944635 895335533562 1343003300343 1492225889270 2238338833905 2686006600686 4476677667810 6715016501715 13430033003430