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212144113140021 = 3225791718163917
BaseRepresentation
bin110000001111000110100110…
…100000010100000100110101
31000211010210001000000012111100
4300033012212200110010311
5210301232120430440041
62031105354332200313
762453622613653306
oct6017064640240465
91024123030005440
10212144113140021
11616608a4311267
121b962b4a309099
13914b1477267ca
143a55b891d67ad
15197d54dd546b6
hexc0f1a6814135

212144113140021 has 12 divisors (see below), whose sum is σ = 307622721780972. Its totient is φ = 140879099774976.

The previous prime is 212144113140017. The next prime is 212144113140023. The reversal of 212144113140021 is 120041311441212.

212144113140021 is a `hidden beast` number, since 2 + 1 + 2 + 144 + 113 + 1 + 400 + 2 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 138026993783121 + 74117119356900 = 11748489^2 + 8609130^2 .

It is not a de Polignac number, because 212144113140021 - 22 = 212144113140017 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212144113140023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45859079646 + ... + 45859084271.

It is an arithmetic number, because the mean of its divisors is an integer number (25635226815081).

Almost surely, 2212144113140021 is an apocalyptic number.

It is an amenable number.

212144113140021 is a deficient number, since it is larger than the sum of its proper divisors (95478608640951).

212144113140021 is a wasteful number, since it uses less digits than its factorization.

212144113140021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91718164180 (or 91718164177 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 212144113140021 its reverse (120041311441212), we get a palindrome (332185424581233).

The spelling of 212144113140021 in words is "two hundred twelve trillion, one hundred forty-four billion, one hundred thirteen million, one hundred forty thousand, twenty-one".

Divisors: 1 3 9 257 771 2313 91718163917 275154491751 825463475253 23571568126669 70714704380007 212144113140021