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10520543354013 = 3271130195028539
BaseRepresentation
bin1001100100011000000100…
…1111111101110010011101
31101020202100202101110220100
42121012001033331302131
52334332033044312023
634213023151411313
72134040605012230
oct231060117756235
941222322343810
1010520543354013
1133968124a9440
12121ab50823b39
135b4110405374
142852a8877417
151339e4370c43
hex991813fdc9d

10520543354013 has 48 divisors (see below), whose sum is σ = 18952366118400. Its totient is φ = 5463405966240.

The previous prime is 10520543353997. The next prime is 10520543354023. The reversal of 10520543354013 is 31045334502501.

10520543354013 is a `hidden beast` number, since 1 + 0 + 5 + 20 + 54 + 33 + 540 + 13 = 666.

It is not a de Polignac number, because 10520543354013 - 24 = 10520543353997 is a prime.

It is a super-2 number, since 2×105205433540132 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10520543354023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 422103 + ... + 4606436.

It is an arithmetic number, because the mean of its divisors is an integer number (394840960800).

Almost surely, 210520543354013 is an apocalyptic number.

It is an amenable number.

10520543354013 is a deficient number, since it is larger than the sum of its proper divisors (8431822764387).

10520543354013 is a wasteful number, since it uses less digits than its factorization.

10520543354013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5031582 (or 5031579 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

Adding to 10520543354013 its reverse (31045334502501), we get a palindrome (41565877856514).

The spelling of 10520543354013 in words is "ten trillion, five hundred twenty billion, five hundred forty-three million, three hundred fifty-four thousand, thirteen".

Divisors: 1 3 7 9 11 21 33 63 77 99 231 693 3019 9057 21133 27171 33209 63399 99627 190197 232463 298881 697389 2092167 5028539 15085617 35199773 45256851 55313929 105599319 165941787 316797957 387197503 497825361 1161592509 3484777527 15181159241 45543477723 106268114687 136630433169 166992751651 318804344061 500978254953 956413032183 1168949261557 1502934764859 3506847784671 10520543354013