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30220020231200 = 255240841924929
BaseRepresentation
bin1101101111100001001011…
…00100100010110000100000
310222000000011011120120012222
412313300211210202300200
512430111100134344300
6144134515144210212
76236216162451212
oct667604544426040
9128000134516188
1030220020231200
1196a126964a278
123480a13769968
1313b297439a777
1476692a2dc5b2
1537615ab63785
hex1b7c25922c20

30220020231200 has 72 divisors (see below), whose sum is σ = 73776510540180. Its totient is φ = 12087699046400.

The previous prime is 30220020231151. The next prime is 30220020231209. The reversal of 30220020231200 is 213202002203.

It can be written as a sum of positive squares in 6 ways, for example, as 18842162651536 + 11377857579664 = 4340756^2 + 3373108^2 .

It is not an unprimeable number, because it can be changed into a prime (30220020231209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32210336 + ... + 33135264.

Almost surely, 230220020231200 is an apocalyptic number.

It is an amenable number.

30220020231200 is an abundant number, since it is smaller than the sum of its proper divisors (43556490308980).

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

30220020231200 is a wasteful number, since it uses less digits than its factorization.

30220020231200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 965790 (or 965777 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

Adding to 30220020231200 its reverse (213202002203), we get a palindrome (30433222233403).

The spelling of 30220020231200 in words is "thirty trillion, two hundred twenty billion, twenty million, two hundred thirty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 40841 81682 163364 204205 326728 408410 653456 816820 924929 1021025 1306912 1633640 1849858 2042050 3267280 3699716 4084100 4624645 6534560 7399432 8168200 9249290 14798864 16336400 18498580 23123225 29597728 32672800 36997160 46246450 73994320 92492900 147988640 184985800 369971600 739943200 37775025289 75550050578 151100101156 188875126445 302200202312 377750252890 604400404624 755500505780 944375632225 1208800809248 1511001011560 1888751264450 3022002023120 3777502528900 6044004046240 7555005057800 15110010115600 30220020231200