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211381324 = 227116531051
BaseRepresentation
bin11001001100101…
…10110001001100
3112201202021122221
430212112301030
5413103200244
632550345124
75144466040
oct1446266114
9481667587
10211381324
11a9356a10
125a95b1a4
1334a4080b
1420106020
1513856784
hexc996c4c

211381324 has 48 divisors (see below), whose sum is σ = 462341376. Its totient is φ = 82152000.

The previous prime is 211381321. The next prime is 211381337. The reversal of 211381324 is 423183112.

It is a happy number.

It is a super-3 number, since 3×2113813243 (a number of 26 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (211381321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 200599 + ... + 201649.

It is an arithmetic number, because the mean of its divisors is an integer number (9632112).

Almost surely, 2211381324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211381324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231170688).

211381324 is an abundant number, since it is smaller than the sum of its proper divisors (250960052).

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

211381324 is a wasteful number, since it uses less digits than its factorization.

211381324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1726 (or 1724 counting only the distinct ones).

The product of its digits is 1152, while the sum is 25.

The square root of 211381324 is about 14538.9588347997. The cubic root of 211381324 is about 595.6925993120.

The spelling of 211381324 in words is "two hundred eleven million, three hundred eighty-one thousand, three hundred twenty-four".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 308 653 1051 1306 2102 2612 4204 4571 7183 7357 9142 11561 14366 14714 18284 23122 28732 29428 46244 50281 80927 100562 161854 201124 323708 686303 1372606 2745212 4804121 7549333 9608242 15098666 19216484 30197332 52845331 105690662 211381324