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212424322332000 = 2535317702026861
BaseRepresentation
bin110000010011001011100100…
…010001100011010101100000
31000212010120022021001000102210
4300103023210101203111200
5210320330003004111000
62031442215251442120
762513102506542132
oct6023134421432540
91025116267030383
10212424322332000
116175971607a579
121b9a930b8b6340
13916b6b230290c
143a6556bb49052
15198599dd1a350
hexc132e4463560

212424322332000 has 96 divisors (see below), whose sum is σ = 695902079998944. Its totient is φ = 56646485952000.

The previous prime is 212424322331971. The next prime is 212424322332017. The reversal of 212424322332000 is 233223424212.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 8851001431 + ... + 8851025430.

It is an arithmetic number, because the mean of its divisors is an integer number (7248979999989).

Almost surely, 2212424322332000 is an apocalyptic number.

212424322332000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212424322332000 is an abundant number, since it is smaller than the sum of its proper divisors (483477757666944).

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

212424322332000 is a wasteful number, since it uses less digits than its factorization.

212424322332000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17702026889 (or 17702026871 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 212424322332000 its reverse (233223424212), we get a palindrome (212657545756212).

The spelling of 212424322332000 in words is "two hundred twelve trillion, four hundred twenty-four billion, three hundred twenty-two million, three hundred thirty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 750 800 1000 1200 1500 2000 2400 3000 4000 6000 12000 17702026861 35404053722 53106080583 70808107444 88510134305 106212161166 141616214888 177020268610 212424322332 265530402915 283232429776 354040537220 424848644664 442550671525 531060805830 566464859552 708081074440 849697289328 885101343050 1062121611660 1327652014575 1416162148880 1699394578656 1770202686100 2124243223320 2212753357625 2655304029150 2832324297760 3540405372200 4248486446640 4425506715250 5310608058300 6638260072875 7080810744400 8496972893280 8851013430500 10621216116600 13276520145750 14161621488800 17702026861000 21242432233200 26553040291500 35404053722000 42484864466400 53106080583000 70808107444000 106212161166000 212424322332000