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212542319 = 11374147271
BaseRepresentation
bin11001010101100…
…10001101101111
3112210221021020202
430222302031233
5413402323234
633031304115
75160402623
oct1452621557
9483837222
10212542319
11a9a7a210
125b21b03b
13350590b2
1420329183
15139d577e
hexcab236f

212542319 has 32 divisors (see below), whose sum is σ = 250048512. Its totient is φ = 178848000.

The previous prime is 212542307. The next prime is 212542331. The reversal of 212542319 is 913245212.

It is an interprime number because it is at equal distance from previous prime (212542307) and next prime (212542331).

It is a cyclic number.

It is not a de Polignac number, because 212542319 - 212 = 212538223 is a prime.

It is a super-2 number, since 2×2125423192 = 90348474731795522, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 212542291 and 212542300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212542399) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 784154 + ... + 784424.

It is an arithmetic number, because the mean of its divisors is an integer number (7814016).

Almost surely, 2212542319 is an apocalyptic number.

212542319 is a deficient number, since it is larger than the sum of its proper divisors (37506193).

212542319 is a wasteful number, since it uses less digits than its factorization.

212542319 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407.

The product of its digits is 4320, while the sum is 29.

The square root of 212542319 is about 14578.8311945780. The cubic root of 212542319 is about 596.7812066796.

It can be divided in two parts, 2125 and 42319, that added together give a palindrome (44444).

The spelling of 212542319 in words is "two hundred twelve million, five hundred forty-two thousand, three hundred nineteen".

Divisors: 1 11 37 41 47 271 407 451 517 1517 1739 1927 2981 10027 11111 12737 16687 19129 21197 71299 110297 122221 140107 411107 471269 522217 784289 4522177 5183959 5744387 19322029 212542319