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30031133220 = 223251191116649
BaseRepresentation
bin11011111101111111…
…101011101000100100
32212111220212122010100
4123331333223220210
5443000432230340
621443543224100
72112125264154
oct337577535044
985456778110
1030031133220
1111810878970
1259a1448030
132aa7975b1a
14164c630764
15bab728830
hex6fdfeba24

30031133220 has 144 divisors (see below), whose sum is σ = 99490809600. Its totient is φ = 7271846400.

The previous prime is 30031133219. The next prime is 30031133239. The reversal of 30031133220 is 2233113003.

30031133220 is a `hidden beast` number, since 3 + 0 + 0 + 311 + 332 + 20 = 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 = 30031133193 and 30031133202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1795456 + ... + 1812104.

It is an arithmetic number, because the mean of its divisors is an integer number (690908400).

Almost surely, 230031133220 is an apocalyptic number.

30031133220 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 30031133220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49745404800).

30031133220 is an abundant number, since it is smaller than the sum of its proper divisors (69459676380).

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

30031133220 is a wasteful number, since it uses less digits than its factorization.

30031133220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17586 (or 17581 counting only the distinct ones).

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

Adding to 30031133220 its reverse (2233113003), we get a palindrome (32264246223).

The spelling of 30031133220 in words is "thirty billion, thirty-one million, one hundred thirty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 911 990 1822 1980 2733 3644 4555 5466 8199 9110 10021 10932 13665 16398 16649 18220 20042 27330 30063 32796 33298 40084 40995 49947 50105 54660 60126 66596 81990 83245 90189 99894 100210 120252 149841 150315 163980 166490 180378 183139 199788 200420 249735 299682 300630 332980 360756 366278 450945 499470 549417 599364 601260 732556 749205 901890 915695 998940 1098834 1498410 1648251 1803780 1831390 2197668 2747085 2996820 3296502 3662780 5494170 6593004 8241255 10988340 15167239 16482510 30334478 32965020 45501717 60668956 75836195 91003434 136505151 151672390 166839629 182006868 227508585 273010302 303344780 333679258 455017170 500518887 546020604 667358516 682525755 834198145 910034340 1001037774 1365051510 1501556661 1668396290 2002075548 2502594435 2730103020 3003113322 3336792580 5005188870 6006226644 7507783305 10010377740 15015566610 30031133220