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105204013500341 = 7173073049944473
BaseRepresentation
bin10111111010111010110111…
…110110101000011110110101
3111210111101221120211021122002
4113322322313312220132311
5102242130304424002331
61011430020120345045
731105511346063530
oct2772726766503665
9453441846737562
10105204013500341
1130580853a5a068
12b9712ab315185
134691907b96942
141bd9c89705a17
15c268e79a59cb
hex5faeb7da87b5

105204013500341 has 32 divisors (see below), whose sum is σ = 127762398086400. Its totient is φ = 84566179270656.

The previous prime is 105204013500331. The next prime is 105204013500379. The reversal of 105204013500341 is 143005310402501.

It is not a de Polignac number, because 105204013500341 - 222 = 105204009306037 is a prime.

It is a super-2 number, since 2×1052040135003412 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105204013500331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 110916881 + ... + 111861353.

It is an arithmetic number, because the mean of its divisors is an integer number (3992574940200).

Almost surely, 2105204013500341 is an apocalyptic number.

It is an amenable number.

105204013500341 is a deficient number, since it is larger than the sum of its proper divisors (22558384586059).

105204013500341 is a wasteful number, since it uses less digits than its factorization.

105204013500341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 947853.

The product of its (nonzero) digits is 7200, while the sum is 29.

Adding to 105204013500341 its reverse (143005310402501), we get a palindrome (248209323902842).

The spelling of 105204013500341 in words is "one hundred five trillion, two hundred four billion, thirteen million, five hundred thousand, three hundred forty-one".

Divisors: 1 7 17 119 307 2149 3049 5219 21343 36533 51833 362831 936043 944473 6552301 6611311 15912731 16056041 111389117 112392287 289953211 2029672477 2879698177 4929204587 20157887239 34504432109 48954869009 342684083063 884067340339 6188471382373 15029144785763 105204013500341