Search a number
-
+
302330121000120 = 233254717868210461
BaseRepresentation
bin100010010111101111011011…
…1011101111001010010111000
31110122110110212221200210220100
41010233132313131321102320
5304111334041434000440
62551000312403555400
7120452426144254413
oct10457366735712270
91418413787623810
10302330121000120
1188371536635834
1229aa972998bb60
13cc907b9c47085
145492bda96cb7a
1524e4478576230
hex112f7b77794b8

302330121000120 has 96 divisors (see below), whose sum is σ = 1003478699545920. Its totient is φ = 78906017391360.

The previous prime is 302330121000113. The next prime is 302330121000211. The reversal of 302330121000120 is 21000121033203.

302330121000120 is a `hidden beast` number, since 3 + 0 + 2 + 330 + 1 + 210 + 0 + 0 + 120 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 302330121000093 and 302330121000102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8934088311 + ... + 8934122150.

It is an arithmetic number, because the mean of its divisors is an integer number (10452903120270).

Almost surely, 2302330121000120 is an apocalyptic number.

302330121000120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

302330121000120 is an abundant number, since it is smaller than the sum of its proper divisors (701148578545800).

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

302330121000120 is a wasteful number, since it uses less digits than its factorization.

302330121000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17868210525 (or 17868210518 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 302330121000120 its reverse (21000121033203), we get a palindrome (323330242033323).

The spelling of 302330121000120 in words is "three hundred two trillion, three hundred thirty billion, one hundred twenty-one million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 47 60 72 90 94 120 141 180 188 235 282 360 376 423 470 564 705 846 940 1128 1410 1692 1880 2115 2820 3384 4230 5640 8460 16920 17868210461 35736420922 53604631383 71472841844 89341052305 107209262766 142945683688 160813894149 178682104610 214418525532 268023156915 321627788298 357364209220 428837051064 536046313830 643255576596 714728418440 804069470745 839805891667 1072092627660 1286511153192 1608138941490 1679611783334 2144185255320 2519417675001 3216277882980 3359223566668 4199029458335 5038835350002 6432555765960 6718447133336 7558253025003 8398058916670 10077670700004 12597088375005 15116506050006 16796117833340 20155341400008 25194176750010 30233012100012 33592235666680 37791265125015 50388353500020 60466024200024 75582530250030 100776707000040 151165060500060 302330121000120