Search a number
-
+
212300012000 = 2553173122059
BaseRepresentation
bin1100010110111000010…
…0010001100111100000
3202021222112221000221102
43011232010101213200
511434242300341000
6241310154013532
721223664220206
oct3055604214740
9667875830842
10212300012000
118204390527a
123518aa172a8
131703468709b
14a3bd8b7076
1557c82073d5
hex316e1119e0

212300012000 has 96 divisors (see below), whose sum is σ = 552304902240. Its totient is φ = 79924684800.

The previous prime is 212300011967. The next prime is 212300012003. The reversal of 212300012000 is 210003212.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212300012003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1493030 + ... + 1629029.

It is an arithmetic number, because the mean of its divisors is an integer number (5753176065).

Almost surely, 2212300012000 is an apocalyptic number.

212300012000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212300012000 is an abundant number, since it is smaller than the sum of its proper divisors (340004890240).

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

212300012000 is a wasteful number, since it uses less digits than its factorization.

212300012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3122101 (or 3122083 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 212300012000 its reverse (210003212), we get a palindrome (212510015212).

The spelling of 212300012000 in words is "two hundred twelve billion, three hundred million, twelve thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 68 80 85 100 125 136 160 170 200 250 272 340 400 425 500 544 680 800 850 1000 1360 1700 2000 2125 2720 3400 4000 4250 6800 8500 13600 17000 34000 68000 3122059 6244118 12488236 15610295 24976472 31220590 49952944 53075003 62441180 78051475 99905888 106150006 124882360 156102950 212300012 249764720 265375015 312205900 390257375 424600024 499529440 530750030 624411800 780514750 849200048 1061500060 1248823600 1326875075 1561029500 1698400096 2123000120 2497647200 2653750150 3122059000 4246000240 5307500300 6244118000 6634375375 8492000480 10615000600 12488236000 13268750750 21230001200 26537501500 42460002400 53075003000 106150006000 212300012000