Search a number
-
+
301120011021300 = 223521961866033969
BaseRepresentation
bin100010001110111011111011…
…1010010101010101111110100
31110111011210101022021120012220
41010131313313102222233310
5303432022240310140200
62544232342351242340
7120266126404203432
oct10435676722525764
91414153338246186
10301120011021300
1187a45309047a49
12299330aa5193b0
13cc03658c463a3
145450401853d52
1524c2c510064a0
hex111ddf74aabf4

301120011021300 has 144 divisors (see below), whose sum is σ = 932129682590400. Its totient is φ = 74825334835200.

The previous prime is 301120011021293. The next prime is 301120011021307. The reversal of 301120011021300 is 3120110021103.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (301120011021293) and next prime (301120011021307).

It is a super-2 number, since 2×3011200110213002 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 301120011021300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (301120011021307) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 432669285 + ... + 433364684.

Almost surely, 2301120011021300 is an apocalyptic number.

301120011021300 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

301120011021300 is an abundant number, since it is smaller than the sum of its proper divisors (631009671569100).

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

301120011021300 is a wasteful number, since it uses less digits than its factorization.

301120011021300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 866034066 (or 866034059 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 301120011021300 its reverse (3120110021103), we get a palindrome (304240121042403).

The spelling of 301120011021300 in words is "three hundred one trillion, one hundred twenty billion, eleven million, twenty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 61 75 76 95 100 114 122 150 183 190 228 244 285 300 305 366 380 475 570 610 732 915 950 1140 1159 1220 1425 1525 1830 1900 2318 2850 3050 3477 3660 4575 4636 5700 5795 6100 6954 9150 11590 13908 17385 18300 23180 28975 34770 57950 69540 86925 115900 173850 347700 866033969 1732067938 2598101907 3464135876 4330169845 5196203814 8660339690 10392407628 12990509535 16454645411 17320679380 21650849225 25981019070 32909290822 43301698450 49363936233 51962038140 52828072109 64952547675 65818581644 82273227055 86603396900 98727872466 105656144218 129905095350 158484216327 164546454110 197455744932 211312288436 246819681165 259810190700 264140360545 316968432654 329092908220 411366135275 493639362330 528280721090 633936865308 792421081635 822732270550 987278724660 1003733370071 1056561442180 1234098405825 1320701802725 1584842163270 1645464541100 2007466740142 2468196811650 2641403605450 3011200110213 3169684326540 3962105408175 4014933480284 4936393623300 5018666850355 5282807210900 6022400220426 7924210816350 10037333700710 12044800440852 15056000551065 15848421632700 20074667401420 25093334251775 30112001102130 50186668503550 60224002204260 75280002755325 100373337007100 150560005510650 301120011021300