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211005342 = 23211722519
BaseRepresentation
bin11001001001110…
…10111110011110
3112201001011220200
430210322332132
5413004132332
632534324330
75141341632
oct1444727636
9481034820
10211005342
11a911a489
125a7b96a6
133493b642
1420048dc2
15137d017c
hexc93af9e

211005342 has 12 divisors (see below), whose sum is σ = 457178280. Its totient is φ = 70335108.

The previous prime is 211005341. The next prime is 211005359. The reversal of 211005342 is 243500112.

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 11722519 = 211005342 / (2 + 1 + 1 + 0 + 0 + 5 + 3 + 4 + 2).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211005341) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 5861242 + ... + 5861277.

It is an arithmetic number, because the mean of its divisors is an integer number (38098190).

Almost surely, 2211005342 is an apocalyptic number.

211005342 is an abundant number, since it is smaller than the sum of its proper divisors (246172938).

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

211005342 is a wasteful number, since it uses less digits than its factorization.

211005342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11722527 (or 11722524 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 211005342 is about 14526.0229243933. The cubic root of 211005342 is about 595.3392054029.

Adding to 211005342 its reverse (243500112), we get a palindrome (454505454).

The spelling of 211005342 in words is "two hundred eleven million, five thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 18 11722519 23445038 35167557 70335114 105502671 211005342