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211303132032 = 2731127948787
BaseRepresentation
bin1100010011001010100…
…1011110101110000000
3202012102002010021201010
43010302221132232000
511430222100211112
6241023223240520
721160200662466
oct3046251365600
9665362107633
10211303132032
1181682122633
1234b50ba9140
1316c05ca0095
14a32733c836
15576a94063c
hex3132a5eb80

211303132032 has 64 divisors (see below), whose sum is σ = 561335212800. Its totient is φ = 70426689024.

The previous prime is 211303132009. The next prime is 211303132043. The reversal of 211303132032 is 230231303112.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4306743 + ... + 4355529.

It is an arithmetic number, because the mean of its divisors is an integer number (8770862700).

Almost surely, 2211303132032 is an apocalyptic number.

It is an amenable number.

211303132032 is an abundant number, since it is smaller than the sum of its proper divisors (350032080768).

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

211303132032 is a wasteful number, since it uses less digits than its factorization.

211303132032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60083 (or 60071 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 211303132032 its reverse (230231303112), we get a palindrome (441534435144).

The spelling of 211303132032 in words is "two hundred eleven billion, three hundred three million, one hundred thirty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 11279 22558 33837 45116 48787 67674 90232 97574 135348 146361 180464 195148 270696 292722 360928 390296 541392 585444 721856 780592 1082784 1170888 1443712 1561184 2165568 2341776 3122368 4331136 4683552 6244736 9367104 18734208 550268573 1100537146 1650805719 2201074292 3301611438 4402148584 6603222876 8804297168 13206445752 17608594336 26412891504 35217188672 52825783008 70434377344 105651566016 211303132032