Search a number
-
+
105042360035221 = 7177112432519829
BaseRepresentation
bin10111111000100100010100…
…100011100110011110010101
3111202220221200200022101220021
4113320210110203212132111
5102232003223132111341
61011223443301505141
731061026414231360
oct2770442443463625
9452827620271807
10105042360035221
113051923a878104
12b945ab5a121b1
13467c5b51c48bb
141bd21123810d7
15c225d5ca79d1
hex5f89148e6795

105042360035221 has 16 divisors (see below), whose sum is σ = 128900365597440. Its totient is φ = 83546533244160.

The previous prime is 105042360035177. The next prime is 105042360035231. The reversal of 105042360035221 is 122530063240501.

It is not a de Polignac number, because 105042360035221 - 29 = 105042360034709 is a prime.

It is a super-2 number, since 2×1050423600352212 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105042360035231) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6216251466 + ... + 6216268363.

It is an arithmetic number, because the mean of its divisors is an integer number (8056272849840).

Almost surely, 2105042360035221 is an apocalyptic number.

It is an amenable number.

105042360035221 is a deficient number, since it is larger than the sum of its proper divisors (23858005562219).

105042360035221 is a wasteful number, since it uses less digits than its factorization.

105042360035221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12432519924.

The product of its (nonzero) digits is 43200, while the sum is 34.

The spelling of 105042360035221 in words is "one hundred five trillion, forty-two billion, three hundred sixty million, thirty-five thousand, two hundred twenty-one".

Divisors: 1 7 17 71 119 497 1207 8449 12432519829 87027638803 211352837093 882708907859 1479469859651 6178962355013 15006051433603 105042360035221