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30204421120 = 21057577793
BaseRepresentation
bin11100001000010100…
…101110010000000000
32212221222221120102201
4130020110232100000
5443324312433440
621513053322544
72116331225536
oct341024562000
985858846381
1030204421120
111189a676705
125a2b496454
132b04839843
14166765c156
15bbba5819a
hex70852e400

30204421120 has 88 divisors (see below), whose sum is σ = 72560238264. Its totient is φ = 12064260096.

The previous prime is 30204421003. The next prime is 30204421133. The reversal of 30204421120 is 2112440203.

It can be written as a sum of positive squares in 4 ways, for example, as 12372557824 + 17831863296 = 111232^2 + 133536^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3871944 + ... + 3879736.

Almost surely, 230204421120 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 30204421120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36280119132).

30204421120 is an abundant number, since it is smaller than the sum of its proper divisors (42355817144).

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

30204421120 is an equidigital number, since it uses as much as digits as its factorization.

30204421120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8575 (or 8557 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 30204421120 its reverse (2112440203), we get a palindrome (32316861323).

The spelling of 30204421120 in words is "thirty billion, two hundred four million, four hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 757 1024 1280 1514 2560 3028 3785 5120 6056 7570 7793 12112 15140 15586 24224 30280 31172 38965 48448 60560 62344 77930 96896 121120 124688 155860 193792 242240 249376 311720 387584 484480 498752 623440 775168 968960 997504 1246880 1937920 1995008 2493760 3875840 3990016 4987520 5899301 7980032 9975040 11798602 19950080 23597204 29496505 39900160 47194408 58993010 94388816 117986020 188777632 235972040 377555264 471944080 755110528 943888160 1510221056 1887776320 3020442112 3775552640 6040884224 7551105280 15102210560 30204421120