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302313120030 = 232531307352951
BaseRepresentation
bin1000110011000110100…
…01000010000100011110
31001220022201110200220100
410121203101002010132
514423114124320110
6350514123201530
730561413056455
oct4314321020436
91056281420810
10302313120030
11107234969649
124a7100762a6
132267b11879c
14108bc427b9c
157ce57c2bc0
hex466344211e

302313120030 has 96 divisors (see below), whose sum is σ = 814014609408. Its totient is φ = 77761944000.

The previous prime is 302313120029. The next prime is 302313120037. The reversal of 302313120030 is 30021313203.

302313120030 is a `hidden beast` number, since 302 + 3 + 131 + 200 + 30 = 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 = 302313119985 and 302313120012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (302313120037) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 680055 + ... + 1033005.

It is an arithmetic number, because the mean of its divisors is an integer number (8479318848).

Almost surely, 2302313120030 is an apocalyptic number.

302313120030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 302313120030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407007304704).

302313120030 is an abundant number, since it is smaller than the sum of its proper divisors (511701489378).

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

302313120030 is a wasteful number, since it uses less digits than its factorization.

302313120030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353302 (or 353299 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 302313120030 its reverse (30021313203), we get a palindrome (332334433233).

The spelling of 302313120030 in words is "three hundred two billion, three hundred thirteen million, one hundred twenty thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 45 62 90 93 155 186 279 307 310 465 558 614 921 930 1395 1535 1842 2763 2790 3070 4605 5526 9210 9517 13815 19034 27630 28551 47585 57102 85653 95170 142755 171306 285510 352951 428265 705902 856530 1058853 1764755 2117706 3176559 3529510 5294265 6353118 10588530 10941481 15882795 21882962 31765590 32824443 54707405 65648886 98473329 108355957 109414810 164122215 196946658 216711914 325067871 328244430 492366645 541779785 650135742 975203613 984733290 1083559570 1625339355 1950407226 3250678710 3359034667 4876018065 6718069334 9752036130 10077104001 16795173335 20154208002 30231312003 33590346670 50385520005 60462624006 100771040010 151156560015 302313120030