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242214163101 = 32229426127581
BaseRepresentation
bin1110000110010100010…
…1101101001010011101
3212011012022200100202200
43201211011231022131
512432023311204401
6303134402042113
723333202262551
oct3414505551235
9764168610680
10242214163101
11937a46427a9
123ab39049339
1319ac1021801
14ba1a775861
156479524686
hex386516d29d

242214163101 has 24 divisors (see below), whose sum is σ = 351487907160. Its totient is φ = 160727414400.

The previous prime is 242214163063. The next prime is 242214163111. The reversal of 242214163101 is 101361412242.

242214163101 is a `hidden beast` number, since 2 + 4 + 2 + 21 + 4 + 1 + 631 + 0 + 1 = 666.

242214163101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 226836923076 + 15377240025 = 476274^2 + 124005^2 .

It is not a de Polignac number, because 242214163101 - 213 = 242214154909 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242214163111) 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 23 ways as a sum of consecutive naturals, for example, 8768131 + ... + 8795711.

It is an arithmetic number, because the mean of its divisors is an integer number (14645329465).

Almost surely, 2242214163101 is an apocalyptic number.

It is an amenable number.

242214163101 is a deficient number, since it is larger than the sum of its proper divisors (109273744059).

242214163101 is a wasteful number, since it uses less digits than its factorization.

242214163101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32077 (or 32074 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 242214163101 its reverse (101361412242), we get a palindrome (343575575343).

The spelling of 242214163101 in words is "two hundred forty-two billion, two hundred fourteen million, one hundred sixty-three thousand, one hundred one".

Divisors: 1 3 9 229 687 2061 4261 12783 27581 38349 82743 248229 975769 2927307 6316049 8781921 18948147 56844441 117522641 352567923 1057703769 26912684789 80738054367 242214163101