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105140034521 = 1733718352249
BaseRepresentation
bin110000111101011010…
…1011001101111011001
3101001101101112011001122
41201322311121233121
53210311322101041
6120144535455025
710411316355614
oct1417265315731
9331341464048
10105140034521
1140653899115
1218463227475
139bb768b2a2
14513597517b
152b05602c4b
hex187ad59bd9

105140034521 has 8 divisors (see below), whose sum is σ = 111655089000. Its totient is φ = 98661685248.

The previous prime is 105140034511. The next prime is 105140034577. The reversal of 105140034521 is 125430041501.

It can be written as a sum of positive squares in 4 ways, for example, as 3595201600 + 101544832921 = 59960^2 + 318661^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 105140034521 - 210 = 105140033497 is a prime.

It is a super-2 number, since 2×1051400345212 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105140034511) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9170396 + ... + 9181853.

It is an arithmetic number, because the mean of its divisors is an integer number (13956886125).

Almost surely, 2105140034521 is an apocalyptic number.

It is an amenable number.

105140034521 is a deficient number, since it is larger than the sum of its proper divisors (6515054479).

105140034521 is a wasteful number, since it uses less digits than its factorization.

105140034521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18352603.

The product of its (nonzero) digits is 2400, while the sum is 26.

The spelling of 105140034521 in words is "one hundred five billion, one hundred forty million, thirty-four thousand, five hundred twenty-one".

Divisors: 1 17 337 5729 18352249 311988233 6184707913 105140034521