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211142010040 = 23513406042327
BaseRepresentation
bin1100010010100100001…
…0110110010010111000
3202011222211221102212221
43010221002312102320
511424404323310130
6240555230013424
721153203321203
oct3045102662270
9664884842787
10211142010040
11815aa184265
1234b07047274
1316bab7a8a20
14a30db9a93a
15575b71587a
hex31290b64b8

211142010040 has 32 divisors (see below), whose sum is σ = 511613333280. Its totient is φ = 77960126592.

The previous prime is 211142010031. The next prime is 211142010059. The reversal of 211142010040 is 40010241112.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 211142009996 and 211142010023.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 203020644 + ... + 203021683.

It is an arithmetic number, because the mean of its divisors is an integer number (15987916665).

Almost surely, 2211142010040 is an apocalyptic number.

211142010040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211142010040 is an abundant number, since it is smaller than the sum of its proper divisors (300471323240).

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

211142010040 is a wasteful number, since it uses less digits than its factorization.

211142010040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406042351 (or 406042347 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 211142010040 its reverse (40010241112), we get a palindrome (251152251152).

The spelling of 211142010040 in words is "two hundred eleven billion, one hundred forty-two million, ten thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 406042327 812084654 1624169308 2030211635 3248338616 4060423270 5278550251 8120846540 10557100502 16241693080 21114201004 26392751255 42228402008 52785502510 105571005020 211142010040