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30013320040 = 235116110910259
BaseRepresentation
bin11011111100111011…
…101110101101101000
32212110200100122000221
4123330323232231220
5442431402220130
621442105335424
72111521003534
oct337473565550
985420318027
1030013320040
1111801811630
125997497574
132aa4079b92
14164a114bc4
15ba9daa87a
hex6fceeeb68

30013320040 has 128 divisors (see below), whose sum is σ = 75571056000. Its totient is φ = 10635494400.

The previous prime is 30013320023. The next prime is 30013320061. The reversal of 30013320040 is 4002331003.

It is a junction number, because it is equal to n+sod(n) for n = 30013319996 and 30013320023.

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 31 ways as a sum of consecutive naturals, for example, 2920431 + ... + 2930689.

It is an arithmetic number, because the mean of its divisors is an integer number (590398875).

Almost surely, 230013320040 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 30013320040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37785528000).

30013320040 is an abundant number, since it is smaller than the sum of its proper divisors (45557735960).

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

30013320040 is a wasteful number, since it uses less digits than its factorization.

30013320040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10451 (or 10447 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 30013320040 its reverse (4002331003), we get a palindrome (34015651043).

It can be divided in two parts, 30013 and 320040, that added together give a palindrome (350053).

The spelling of 30013320040 in words is "thirty billion, thirteen million, three hundred twenty thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 61 88 109 110 122 218 220 244 305 436 440 488 545 610 671 872 1090 1199 1220 1342 2180 2398 2440 2684 3355 4360 4796 5368 5995 6649 6710 9592 10259 11990 13298 13420 20518 23980 26596 26840 33245 41036 47960 51295 53192 66490 73139 82072 102590 112849 132980 146278 205180 225698 265960 292556 365695 410360 451396 564245 585112 625799 731390 902792 1118231 1128490 1251598 1462780 2236462 2256980 2503196 2925560 3128995 4472924 4513960 5006392 5591155 6257990 6883789 8945848 11182310 12300541 12515980 13767578 22364620 24601082 25031960 27535156 34418945 44729240 49202164 55070312 61502705 68212091 68837890 98404328 123005410 136424182 137675780 246010820 272848364 275351560 341060455 492021640 545696728 682120910 750333001 1364241820 1500666002 2728483640 3001332004 3751665005 6002664008 7503330010 15006660020 30013320040