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10241134122141 = 331399787292393
BaseRepresentation
bin1001010100000111001100…
…1010010101010010011101
31100021001011020121211221000
42111001303022111102131
52320242320313402031
633440413450100513
72104616564512536
oct225016312252235
940231136554830
1010241134122141
113299271253a8a
12119497311a739
13593972496c30
1427596027d68d
1512b5de7253e6
hex9507329549d

10241134122141 has 32 divisors (see below), whose sum is σ = 16339350984320. Its totient is φ = 6302151672192.

The previous prime is 10241134122119. The next prime is 10241134122187. The reversal of 10241134122141 is 14122143114201.

10241134122141 is a `hidden beast` number, since 1 + 0 + 2 + 411 + 34 + 1 + 2 + 214 + 1 = 666.

It is not a de Polignac number, because 10241134122141 - 217 = 10241133991069 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10241134122041) 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, 34879041 + ... + 35171433.

It is an arithmetic number, because the mean of its divisors is an integer number (510604718260).

Almost surely, 210241134122141 is an apocalyptic number.

It is an amenable number.

10241134122141 is a deficient number, since it is larger than the sum of its proper divisors (6098216862179).

10241134122141 is a wasteful number, since it uses less digits than its factorization.

10241134122141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392202 (or 392196 counting only the distinct ones).

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

Adding to 10241134122141 its reverse (14122143114201), we get a palindrome (24363277236342).

The spelling of 10241134122141 in words is "ten trillion, two hundred forty-one billion, one hundred thirty-four million, one hundred twenty-two thousand, one hundred forty-one".

Divisors: 1 3 9 13 27 39 117 351 99787 292393 299361 877179 898083 1297231 2631537 2694249 3801109 3891693 7894611 11403327 11675079 34209981 35025237 102629943 29177020291 87531060873 262593182619 379301263783 787779547857 1137903791349 3413711374047 10241134122141