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212034231200 = 25521124094799
BaseRepresentation
bin1100010101111000111…
…0011001101110100000
3202021022000210222020002
43011132032121232200
511433221230344300
6241223541235132
721214256141111
oct3053616315640
9667260728202
10212034231200
1181a17883220
1235115a02aa8
1316cc15aa83c
14a396490208
1557aec075d5
hex315e399ba0

212034231200 has 72 divisors (see below), whose sum is σ = 564685732800. Its totient is φ = 77103353600.

The previous prime is 212034231197. The next prime is 212034231223. The reversal of 212034231200 is 2132430212.

212034231200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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, 12038600 + ... + 12056199.

It is an arithmetic number, because the mean of its divisors is an integer number (7842857400).

Almost surely, 2212034231200 is an apocalyptic number.

212034231200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212034231200 is an abundant number, since it is smaller than the sum of its proper divisors (352651501600).

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

212034231200 is a wasteful number, since it uses less digits than its factorization.

212034231200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24094830 (or 24094817 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 212034231200 its reverse (2132430212), we get a palindrome (214166661412).

The spelling of 212034231200 in words is "two hundred twelve billion, thirty-four million, two hundred thirty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 160 176 200 220 275 352 400 440 550 800 880 1100 1760 2200 4400 8800 24094799 48189598 96379196 120473995 192758392 240947990 265042789 385516784 481895980 530085578 602369975 771033568 963791960 1060171156 1204739950 1325213945 1927583920 2120342312 2409479900 2650427890 3855167840 4240684624 4818959800 5300855780 6626069725 8481369248 9637919600 10601711560 13252139450 19275839200 21203423120 26504278900 42406846240 53008557800 106017115600 212034231200