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105140201255 = 571421970199
BaseRepresentation
bin110000111101011011…
…0000010011100100111
3101001101101211121202222
41201322312002130213
53210311342420010
6120144543222555
710411320651665
oct1417266023447
9331341747688
10105140201255
11406539a2411
12184632a7a5b
139bb771914b
1451359b9c35
152b05637355
hex187ad82727

105140201255 has 16 divisors (see below), whose sum is σ = 127977408000. Its totient is φ = 82906645920.

The previous prime is 105140201251. The next prime is 105140201261. The reversal of 105140201255 is 552102041501.

It is not a de Polignac number, because 105140201255 - 22 = 105140201251 is a prime.

It is a super-2 number, since 2×1051402012552 (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 (105140201251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1462646 + ... + 1532844.

It is an arithmetic number, because the mean of its divisors is an integer number (7998588000).

Almost surely, 2105140201255 is an apocalyptic number.

105140201255 is a deficient number, since it is larger than the sum of its proper divisors (22837206745).

105140201255 is an equidigital number, since it uses as much as digits as its factorization.

105140201255 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74494.

The product of its (nonzero) digits is 2000, while the sum is 26.

Adding to 105140201255 its reverse (552102041501), we get a palindrome (657242242756).

The spelling of 105140201255 in words is "one hundred five billion, one hundred forty million, two hundred one thousand, two hundred fifty-five".

Divisors: 1 5 71 355 4219 21095 70199 299549 350995 1497745 4984129 24920645 296169581 1480847905 21028040251 105140201255