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105034250035 = 511131071678221
BaseRepresentation
bin110000111010010000…
…1110111011100110011
3101001010000110202000201
41201310201313130303
53210102232000120
6120130240300031
710405563252211
oct1416441673463
9331100422021
10105034250035
11405aa106720
1218433911617
139b9b7a0910
1451258b9cb1
152aeb1a940a
hex1874877733

105034250035 has 64 divisors (see below), whose sum is σ = 150373407744. Its totient is φ = 69426777600.

The previous prime is 105034250033. The next prime is 105034250089. The reversal of 105034250035 is 530052430501.

It is not a de Polignac number, because 105034250035 - 21 = 105034250033 is a prime.

It is a super-2 number, since 2×1050342500352 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105034249985 and 105034250012.

It is not an unprimeable number, because it can be changed into a prime (105034250033) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12772225 + ... + 12780445.

It is an arithmetic number, because the mean of its divisors is an integer number (2349584496).

Almost surely, 2105034250035 is an apocalyptic number.

105034250035 is a deficient number, since it is larger than the sum of its proper divisors (45339157709).

105034250035 is a wasteful number, since it uses less digits than its factorization.

105034250035 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8524.

The product of its (nonzero) digits is 9000, while the sum is 28.

Adding to 105034250035 its reverse (530052430501), we get a palindrome (635086680536).

The spelling of 105034250035 in words is "one hundred five billion, thirty-four million, two hundred fifty thousand, thirty-five".

Divisors: 1 5 11 13 55 65 107 143 167 535 715 835 1177 1391 1837 2171 5885 6955 8221 9185 10855 15301 17869 23881 41105 76505 89345 90431 106873 119405 196559 232297 452155 534365 879647 982795 1161485 1175603 1372907 2555267 4398235 5878015 6864535 9676117 11435411 12776335 15101977 17847791 48380585 57177055 75509885 89238955 125789521 146901049 196325701 628947605 734505245 981628505 1615911539 1909713637 8079557695 9548568185 21006850007 105034250035