Search a number
-
+
30120231100 = 225217373891231
BaseRepresentation
bin11100000011010011…
…100100000010111100
32212202010112021102211
4130003103210002330
5443141234343400
621500445030204
72114256511561
oct340323440274
985663467384
1030120231100
11118570a3483
125a07255364
132ac027026b
14165a3c4868
15bb4477dba
hex7034e40bc

30120231100 has 144 divisors (see below), whose sum is σ = 71316685440. Its totient is φ = 10995609600.

The previous prime is 30120231041. The next prime is 30120231121. The reversal of 30120231100 is 113202103.

It is a congruent number.

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, 24467485 + ... + 24468715.

It is an arithmetic number, because the mean of its divisors is an integer number (495254760).

Almost surely, 230120231100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30120231100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35658342720).

30120231100 is an abundant number, since it is smaller than the sum of its proper divisors (41196454340).

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

30120231100 is a wasteful number, since it uses less digits than its factorization.

30120231100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1688 (or 1681 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 30120231100 its reverse (113202103), we get a palindrome (30233433203).

The spelling of 30120231100 in words is "thirty billion, one hundred twenty million, two hundred thirty-one thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 37 50 68 74 85 100 148 170 185 340 370 389 425 629 740 778 850 925 1231 1258 1556 1700 1850 1945 2462 2516 3145 3700 3890 4924 6155 6290 6613 7780 9725 12310 12580 13226 14393 15725 19450 20927 24620 26452 28786 30775 31450 33065 38900 41854 45547 57572 61550 62900 66130 71965 83708 91094 104635 123100 132260 143930 165325 182188 209270 227735 244681 287860 330650 359825 418540 455470 478859 489362 523175 661300 719650 774299 910940 957718 978724 1046350 1138675 1223405 1439300 1548598 1915436 2092700 2277350 2394295 2446810 3097196 3871495 4554700 4788590 4893620 6117025 7742990 8140603 9577180 11971475 12234050 15485980 16281206 17717783 19357475 23942950 24468100 32562412 35435566 38714950 40703015 47885900 70871132 77429900 81406030 88588915 162812060 177177830 203515075 301202311 354355660 407030150 442944575 602404622 814060300 885889150 1204809244 1506011555 1771778300 3012023110 6024046220 7530057775 15060115550 30120231100