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105533545023 = 32234112434729
BaseRepresentation
bin110001001001001001…
…0100001101000111111
3101002101210222112222200
41202102102201220333
53212113041420043
6120251554042543
710424135221554
oct1422222415077
9332353875880
10105533545023
1140835a31405
1218552b79453
139c4b069b3a
145171d2aa2b
152b29e337d3
hex18924a1a3f

105533545023 has 24 divisors (see below), whose sum is σ = 162944701920. Its totient is φ = 65655363840.

The previous prime is 105533545009. The next prime is 105533545079. The reversal of 105533545023 is 320545335501.

105533545023 is a `hidden beast` number, since 1 + 0 + 5 + 533 + 54 + 50 + 23 = 666.

It is not a de Polignac number, because 105533545023 - 221 = 105531447871 is a prime.

It is a super-2 number, since 2×1055335450232 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105533545423) 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 23 ways as a sum of consecutive naturals, for example, 6208878 + ... + 6225851.

It is an arithmetic number, because the mean of its divisors is an integer number (6789362580).

Almost surely, 2105533545023 is an apocalyptic number.

105533545023 is a deficient number, since it is larger than the sum of its proper divisors (57411156897).

105533545023 is a wasteful number, since it uses less digits than its factorization.

105533545023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12434799 (or 12434796 counting only the distinct ones).

The product of its (nonzero) digits is 135000, while the sum is 36.

The spelling of 105533545023 in words is "one hundred five billion, five hundred thirty-three million, five hundred forty-five thousand, twenty-three".

Divisors: 1 3 9 23 41 69 123 207 369 943 2829 8487 12434729 37304187 111912561 285998767 509823889 857996301 1529471667 2573988903 4588415001 11725949447 35177848341 105533545023