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21212300321300 = 22521131220066503
BaseRepresentation
bin1001101001010110111111…
…01000000010001000010100
32210002212122200101200100202
410310223133220002020110
510240020242340240200
6113040443553200032
74316352401516654
oct464533750021024
983085580350322
1021212300321300
1168390a4589620
122467104560018
13bab40801436a
1453497621c364
1526bba98661d5
hex134adfa02214

21212300321300 has 108 divisors (see below), whose sum is σ = 51887404181088. Its totient is φ = 7464738744000.

The previous prime is 21212300321131. The next prime is 21212300321309. The reversal of 21212300321300 is 312300321212.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21212300321309) 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 35 ways as a sum of consecutive naturals, for example, 8976152 + ... + 11090351.

Almost surely, 221212300321300 is an apocalyptic number.

21212300321300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21212300321300 is an abundant number, since it is smaller than the sum of its proper divisors (30675103859788).

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

21212300321300 is a wasteful number, since it uses less digits than its factorization.

21212300321300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20066590 (or 20066552 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 21212300321300 its reverse (312300321212), we get a palindrome (21524600642512).

The spelling of 21212300321300 in words is "twenty-one trillion, two hundred twelve billion, three hundred million, three hundred twenty-one thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 31 44 50 55 62 100 110 124 155 220 275 310 341 550 620 682 775 961 1100 1364 1550 1705 1922 3100 3410 3844 4805 6820 8525 9610 10571 17050 19220 21142 24025 34100 42284 48050 52855 96100 105710 211420 264275 528550 1057100 20066503 40133006 80266012 100332515 200665030 220731533 401330060 441463066 501662575 622061593 882926132 1003325150 1103657665 1244123186 2006650300 2207315330 2488246372 3110307965 4414630660 5518288325 6220615930 6842677523 11036576650 12441231860 13685355046 15551539825 19283909383 22073153300 27370710092 31103079650 34213387615 38567818766 62206159300 68426775230 77135637532 96419546915 136853550460 171066938075 192839093830 212123003213 342133876150 385678187660 424246006426 482097734575 684267752300 848492012852 964195469150 1060615016065 1928390938300 2121230032130 4242460064260 5303075080325 10606150160650 21212300321300