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30212311200 = 2535248725849
BaseRepresentation
bin11100001000110010…
…110100100010100000
32212222112210102120220
4130020302310202200
5443333322424300
621513534403040
72116455256641
oct341062644240
985875712526
1030212311200
11118a4075635
125a32060480
132b0636cc26
1416687136c8
15bbc5b5da0
hex708cb48a0

30212311200 has 144 divisors (see below), whose sum is σ = 98546817600. Its totient is φ = 8039761920.

The previous prime is 30212311183. The next prime is 30212311229. The reversal of 30212311200 is 211321203.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 30212311200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1155876 + ... + 1181724.

It is an arithmetic number, because the mean of its divisors is an integer number (684352900).

Almost surely, 230212311200 is an apocalyptic number.

30212311200 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 30212311200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49273408800).

30212311200 is an abundant number, since it is smaller than the sum of its proper divisors (68334506400).

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

30212311200 is a wasteful number, since it uses less digits than its factorization.

30212311200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26359 (or 26346 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 30212311200 its reverse (211321203), we get a palindrome (30423632403).

The spelling of 30212311200 in words is "thirty billion, two hundred twelve million, three hundred eleven thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 300 400 480 487 600 800 974 1200 1461 1948 2400 2435 2922 3896 4870 5844 7305 7792 9740 11688 12175 14610 15584 19480 23376 24350 25849 29220 36525 38960 46752 48700 51698 58440 73050 77547 77920 97400 103396 116880 129245 146100 155094 194800 206792 233760 258490 292200 310188 387735 389600 413584 516980 584400 620376 646225 775470 827168 1033960 1168800 1240752 1292450 1550940 1938675 2067920 2481504 2584900 3101880 3877350 4135840 5169800 6203760 7754700 10339600 12407520 12588463 15509400 20679200 25176926 31018800 37765389 50353852 62037600 62942315 75530778 100707704 125884630 151061556 188826945 201415408 251769260 302123112 314711575 377653890 402830816 503538520 604246224 629423150 755307780 944134725 1007077040 1208492448 1258846300 1510615560 1888269450 2014154080 2517692600 3021231120 3776538900 5035385200 6042462240 7553077800 10070770400 15106155600 30212311200