Search a number
-
+
30313013220 = 22325724057947
BaseRepresentation
bin11100001110110010…
…111101111111100100
32220020120021121210100
4130032302331333210
5444040112410340
621531533024100
72122120234560
oct341662757744
986216247710
1030313013220
11119459a6546
125a5b925030
132b2119b119
141677c486a0
15bc6358830
hex70ecbdfe4

30313013220 has 72 divisors (see below), whose sum is σ = 105085116864. Its totient is φ = 6928688448.

The previous prime is 30313013179. The next prime is 30313013239. The reversal of 30313013220 is 2231031303.

30313013220 is a `hidden beast` number, since 30 + 313 + 0 + 1 + 322 + 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 = 30313013193 and 30313013202.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12027714 + ... + 12030233.

It is an arithmetic number, because the mean of its divisors is an integer number (1459515512).

Almost surely, 230313013220 is an apocalyptic number.

30313013220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30313013220 is an abundant number, since it is smaller than the sum of its proper divisors (74772103644).

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

30313013220 is a wasteful number, since it uses less digits than its factorization.

30313013220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24057969 (or 24057964 counting only the distinct ones).

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

Adding to 30313013220 its reverse (2231031303), we get a palindrome (32544044523).

The spelling of 30313013220 in words is "thirty billion, three hundred thirteen million, thirteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 24057947 48115894 72173841 96231788 120289735 144347682 168405629 216521523 240579470 288695364 336811258 360869205 433043046 481158940 505216887 673622516 721738410 842028145 866086092 1010433774 1082607615 1443476820 1515650661 1684056290 2020867548 2165215230 2526084435 3031301322 3368112580 4330430460 5052168870 6062602644 7578253305 10104337740 15156506610 30313013220