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211432224141 = 32208111289029
BaseRepresentation
bin1100010011101001010…
…1111011010110001101
3202012202002000211210100
43010322111323112031
511431003122133031
6241044114201313
721163326152355
oct3047225732615
9665662024710
10211432224141
1181738a84426
1234b88283239
1316c2695b548
14a33a543b65
155776e3ede6
hex313a57b58d

211432224141 has 12 divisors (see below), whose sum is σ = 305548885980. Its totient is φ = 140887069440.

The previous prime is 211432224127. The next prime is 211432224173. The reversal of 211432224141 is 141422234112.

211432224141 is a `hidden beast` number, since 2 + 1 + 1 + 432 + 224 + 1 + 4 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 138763700100 + 72668524041 = 372510^2 + 269571^2 .

It is not a de Polignac number, because 211432224141 - 25 = 211432224109 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211432224191) 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, 5625786 + ... + 5663243.

It is an arithmetic number, because the mean of its divisors is an integer number (25462407165).

Almost surely, 2211432224141 is an apocalyptic number.

It is an amenable number.

211432224141 is a deficient number, since it is larger than the sum of its proper divisors (94116661839).

211432224141 is a wasteful number, since it uses less digits than its factorization.

211432224141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11291116 (or 11291113 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

Adding to 211432224141 its reverse (141422234112), we get a palindrome (352854458253).

The spelling of 211432224141 in words is "two hundred eleven billion, four hundred thirty-two million, two hundred twenty-four thousand, one hundred forty-one".

Divisors: 1 3 9 2081 6243 18729 11289029 33867087 101601261 23492469349 70477408047 211432224141