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304022131413 = 3711131710158963
BaseRepresentation
bin1000110110010010010…
…00011001001011010101
31002001201211021110210020
410123021020121023111
514440114131201123
6351355453215353
730651644323110
oct4331110311325
91061654243706
10304022131413
11107a31627150
124ab08491559
13228911cb920
1410a013b7577
157d958567e3
hex46c92192d5

304022131413 has 128 divisors (see below), whose sum is σ = 581994491904. Its totient is φ = 135848448000.

The previous prime is 304022131373. The next prime is 304022131433. The reversal of 304022131413 is 314131220403.

It is a happy number.

It is not a de Polignac number, because 304022131413 - 26 = 304022131349 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (304022131433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5126670 + ... + 5185632.

It is an arithmetic number, because the mean of its divisors is an integer number (4546831968).

Almost surely, 2304022131413 is an apocalyptic number.

304022131413 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

304022131413 is a deficient number, since it is larger than the sum of its proper divisors (277972360491).

304022131413 is a wasteful number, since it uses less digits than its factorization.

304022131413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59115.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 304022131413 its reverse (314131220403), we get a palindrome (618153351816).

The spelling of 304022131413 in words is "three hundred four billion, twenty-two million, one hundred thirty-one thousand, four hundred thirteen".

Divisors: 1 3 7 11 13 17 21 33 39 51 77 91 101 119 143 187 221 231 273 303 357 429 561 663 707 1001 1111 1309 1313 1547 1717 2121 2431 3003 3333 3927 3939 4641 5151 7293 7777 9191 12019 14443 17017 18887 22321 23331 27573 36057 43329 51051 56661 58963 66963 101101 132209 156247 176889 245531 303303 396627 412741 468741 648593 736593 766519 1002371 1238223 1718717 1945779 2299557 3007113 4540151 5156151 5365633 5955263 7016597 8431709 11026081 13030823 13620453 16096899 17865789 21049791 25295127 33078243 39092469 41686841 59021963 65507893 77182567 77418419 91215761 101239471 125060523 143339053 177065889 196523679 231547701 232255257 273647283 303718413 430017159 458555251 541928933 708676297 851602609 1003373371 1113634181 1316113123 1375665753 1625786799 2126028891 2554807827 3010120113 3340902543 3948339369 5961218263 7795439267 9212791861 14477244353 17883654789 23386317801 27638375583 43431733059 101340710471 304022131413