Search a number
-
+
30430301220 = 223251131495769
BaseRepresentation
bin11100010101110010…
…011000110000100100
32220112201222110200100
4130111302120300210
5444310124114340
621551322544100
72125043202234
oct342562306044
986481873610
1030430301220
11119a6125780
125a93068030
132b3c5857c7
141689659cc4
15bd17c5830
hex715c98c24

30430301220 has 144 divisors (see below), whose sum is σ = 103945121280. Its totient is φ = 7139059200.

The previous prime is 30430301177. The next prime is 30430301243. The reversal of 30430301220 is 2210303403.

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 = 30430301193 and 30430301202.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 186505 + ... + 309264.

It is an arithmetic number, because the mean of its divisors is an integer number (721841120).

Almost surely, 230430301220 is an apocalyptic number.

30430301220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30430301220 is an abundant number, since it is smaller than the sum of its proper divisors (73514820060).

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

30430301220 is a wasteful number, since it uses less digits than its factorization.

30430301220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495826 (or 495821 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 30430301220 its reverse (2210303403), we get a palindrome (32640604623).

The spelling of 30430301220 in words is "thirty billion, four hundred thirty million, three hundred one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 31 33 36 44 45 55 60 62 66 90 93 99 110 124 132 155 165 180 186 198 220 279 310 330 341 372 396 465 495 558 620 660 682 930 990 1023 1116 1364 1395 1705 1860 1980 2046 2790 3069 3410 4092 5115 5580 6138 6820 10230 12276 15345 20460 30690 61380 495769 991538 1487307 1983076 2478845 2974614 4461921 4957690 5453459 5949228 7436535 8923842 9915380 10906918 14873070 15368839 16360377 17847684 21813836 22309605 27267295 29746140 30737678 32720754 44619210 46106517 49081131 54534590 61475356 65441508 76844195 81801885 89238420 92213034 98162262 109069180 138319551 153688390 163603770 169057229 184426068 196324524 230532585 245405655 276639102 307376780 327207540 338114458 461065170 490811310 507171687 553278204 676228916 691597755 845286145 922130340 981622620 1014343374 1383195510 1521515061 1690572290 2028686748 2535858435 2766391020 3043030122 3381144580 5071716870 6086060244 7607575305 10143433740 15215150610 30430301220