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211203040040 = 2355801910201
BaseRepresentation
bin1100010010110010101…
…1101010001100101000
3202012011002210002022022
43010230223222030220
511430020434240130
6241005250044012
721154544135216
oct3045453521450
9665132702268
10211203040040
1181630678a83
1234b23579608
1316bbb326755
14a317d25cb6
155761c6d7e5
hex312caea328

211203040040 has 32 divisors (see below), whose sum is σ = 475289280360. Its totient is φ = 84466560000.

The previous prime is 211203040039. The next prime is 211203040067. The reversal of 211203040040 is 40040302112.

It can be written as a sum of positive squares in 4 ways, for example, as 184320814276 + 26882225764 = 429326^2 + 163958^2 .

It is a super-3 number, since 3×2112030400403 (a number of 35 digits) contains 333 as substring.

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, 223061 + ... + 687140.

Almost surely, 2211203040040 is an apocalyptic number.

211203040040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211203040040 is an abundant number, since it is smaller than the sum of its proper divisors (264086240320).

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

211203040040 is a wasteful number, since it uses less digits than its factorization.

211203040040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916013 (or 916009 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 211203040040 its reverse (40040302112), we get a palindrome (251243342152).

The spelling of 211203040040 in words is "two hundred eleven billion, two hundred three million, forty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 5801 11602 23204 29005 46408 58010 116020 232040 910201 1820402 3640804 4551005 7281608 9102010 18204020 36408040 5280076001 10560152002 21120304004 26400380005 42240608008 52800760010 105601520020 211203040040