Search a number
-
+
30330213120 = 283252632831
BaseRepresentation
bin11100001111110100…
…100101001100000000
32220021202122110121200
4130033310211030000
5444104013304440
621533345421200
72122416362214
oct341764451400
986252573550
1030330213120
1111954684039
125a6563a800
132b24910b8c
14167a244944
15bc7b04c30
hex70fd25300

30330213120 has 108 divisors (see below), whose sum is σ = 104939417856. Its totient is φ = 8088053760.

The previous prime is 30330213061. The next prime is 30330213127. The reversal of 30330213120 is 2131203303.

30330213120 is a `hidden beast` number, since 3 + 0 + 330 + 21 + 312 + 0 = 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 = 30330213093 and 30330213102.

It is not an unprimeable number, because it can be changed into a prime (30330213127) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1304896 + ... + 1327935.

Almost surely, 230330213120 is an apocalyptic number.

30330213120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30330213120 is an abundant number, since it is smaller than the sum of its proper divisors (74609204736).

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

30330213120 is a wasteful number, since it uses less digits than its factorization.

30330213120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2632858 (or 2632841 counting only the distinct ones).

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

Adding to 30330213120 its reverse (2131203303), we get a palindrome (32461416423).

The spelling of 30330213120 in words is "thirty billion, three hundred thirty million, two hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 576 640 720 768 960 1152 1280 1440 1920 2304 2880 3840 5760 11520 2632831 5265662 7898493 10531324 13164155 15796986 21062648 23695479 26328310 31593972 39492465 42125296 47390958 52656620 63187944 78984930 84250592 94781916 105313240 118477395 126375888 157969860 168501184 189563832 210626480 236954790 252751776 315939720 337002368 379127664 421252960 473909580 505503552 631879440 674004736 758255328 842505920 947819160 1011007104 1263758880 1516510656 1685011840 1895638320 2022014208 2527517760 3033021312 3370023680 3791276640 5055035520 6066042624 7582553280 10110071040 15165106560 30330213120