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105534424521 = 3253221246173
BaseRepresentation
bin110001001001001010…
…1111000010111001001
3101002101212122020102200
41202102111320113021
53212113303041041
6120252024550413
710424145543651
oct1422225702711
9332355566380
10105534424521
1140836482169
1218553322409
139c4b2b7256
1451720b9361
152b2a0591b6
hex18925785c9

105534424521 has 12 divisors (see below), whose sum is σ = 155314814148. Its totient is φ = 69028805664.

The previous prime is 105534424517. The next prime is 105534424537. The reversal of 105534424521 is 125424435501.

105534424521 is a `hidden beast` number, since 1 + 0 + 55 + 344 + 245 + 21 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 29338551225 + 76195873296 = 171285^2 + 276036^2 .

It is not a de Polignac number, because 105534424521 - 22 = 105534424517 is a prime.

It is a super-2 number, since 2×1055344245212 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105534424561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 110622610 + ... + 110623563.

It is an arithmetic number, because the mean of its divisors is an integer number (12942901179).

Almost surely, 2105534424521 is an apocalyptic number.

It is an amenable number.

105534424521 is a deficient number, since it is larger than the sum of its proper divisors (49780389627).

105534424521 is a wasteful number, since it uses less digits than its factorization.

105534424521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221246232 (or 221246229 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 105534424521 in words is "one hundred five billion, five hundred thirty-four million, four hundred twenty-four thousand, five hundred twenty-one".

Divisors: 1 3 9 53 159 477 221246173 663738519 1991215557 11726047169 35178141507 105534424521