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30332111220 = 2232559248409
BaseRepresentation
bin11100001111111011…
…110100100101110100
32220021220012220022200
4130033323310211310
5444110010024340
621533454224500
72122441456065
oct341773644564
986256186280
1030332111220
1111955760114
125a661b5130
132b25126b08
14167a5ba56c
15bc7d7c330
hex70fef4974

30332111220 has 108 divisors (see below), whose sum is σ = 93595216260. Its totient is φ = 7951304448.

The previous prime is 30332111207. The next prime is 30332111237. The reversal of 30332111220 is 2211123303.

30332111220 is a `hidden beast` number, since 3 + 0 + 332 + 111 + 220 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 23931471204 + 6400640016 = 154698^2 + 80004^2 .

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 = 30332111193 and 30332111202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 602376 + ... + 650784.

Almost surely, 230332111220 is an apocalyptic number.

30332111220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30332111220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46797608130).

30332111220 is an abundant number, since it is smaller than the sum of its proper divisors (63263105040).

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

30332111220 is a wasteful number, since it uses less digits than its factorization.

30332111220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48542 (or 48478 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 30332111220 its reverse (2211123303), we get a palindrome (32543234523).

The spelling of 30332111220 in words is "thirty billion, three hundred thirty-two million, one hundred eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 59 60 90 118 177 180 236 295 354 531 590 708 885 1062 1180 1770 2124 2655 3481 3540 5310 6962 10443 10620 13924 17405 20886 31329 34810 41772 48409 52215 62658 69620 96818 104430 125316 145227 156645 193636 208860 242045 290454 313290 435681 484090 580908 626580 726135 871362 968180 1452270 1742724 2178405 2856131 2904540 4356810 5712262 8568393 8713620 11424524 14280655 17136786 25705179 28561310 34273572 42841965 51410358 57122620 85683930 102820716 128525895 168511729 171367860 257051790 337023458 505535187 514103580 674046916 842558645 1011070374 1516605561 1685117290 2022140748 2527675935 3033211122 3370234580 5055351870 6066422244 7583027805 10110703740 15166055610 30332111220