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211205141 = 7211933613
BaseRepresentation
bin11001001011010…
…11110000010101
3112201102022222122
430211223300111
5413032031031
632542505325
75143133300
oct1445536025
9481368878
10211205141
11a9246604
125a895245
13349ab574
142009bb37
151381e47b
hexc96bc15

211205141 has 12 divisors (see below), whose sum is σ = 245961612. Its totient is φ = 180831168.

The previous prime is 211205129. The next prime is 211205153. The reversal of 211205141 is 141502112.

211205141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (211205129) and next prime (211205153).

It can be written as a sum of positive squares in 2 ways, for example, as 33756100 + 177449041 = 5810^2 + 13321^2 .

It is not a de Polignac number, because 211205141 - 210 = 211204117 is a prime.

It is a super-2 number, since 2×2112051412 = 89215223169659762, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211205171) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56651 + ... + 60263.

It is an arithmetic number, because the mean of its divisors is an integer number (20496801).

Almost surely, 2211205141 is an apocalyptic number.

It is an amenable number.

211205141 is a deficient number, since it is larger than the sum of its proper divisors (34756471).

211205141 is a wasteful number, since it uses less digits than its factorization.

211205141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4820 (or 4813 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 17.

The square root of 211205141 is about 14532.8985753015. The cubic root of 211205141 is about 595.5270531811.

Adding to 211205141 its reverse (141502112), we get a palindrome (352707253).

The spelling of 211205141 in words is "two hundred eleven million, two hundred five thousand, one hundred forty-one".

Divisors: 1 7 49 1193 3613 8351 25291 58457 177037 4310309 30172163 211205141