Search a number
-
+
105421212335 = 5371495636793
BaseRepresentation
bin110001000101110011…
…0000000101010101111
3101002002222121110111202
41202023212000222233
53211400312243320
6120232502240115
710421302343165
oct1421346005257
9332088543452
10105421212335
114078858717a
121852142603b
139c309c8aaa
145161049235
152b20144b75
hex188b980aaf

105421212335 has 32 divisors (see below), whose sum is σ = 131048107200. Its totient is φ = 81350120448.

The previous prime is 105421212317. The next prime is 105421212373. The reversal of 105421212335 is 533212124501.

It is not a de Polignac number, because 105421212335 - 214 = 105421195951 is a prime.

It is a super-2 number, since 2×1054212123352 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105421212298 and 105421212307.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15515699 + ... + 15522491.

It is an arithmetic number, because the mean of its divisors is an integer number (4095253350).

Almost surely, 2105421212335 is an apocalyptic number.

105421212335 is a deficient number, since it is larger than the sum of its proper divisors (25626894865).

105421212335 is a wasteful number, since it uses less digits than its factorization.

105421212335 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7547.

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

Adding to 105421212335 its reverse (533212124501), we get a palindrome (638633336836).

The spelling of 105421212335 in words is "one hundred five billion, four hundred twenty-one million, two hundred twelve thousand, three hundred thirty-five".

Divisors: 1 5 37 149 185 563 745 2815 5513 6793 20831 27565 33965 83887 104155 251341 419435 1012157 1256705 3103819 3824459 5060785 15519095 19122295 37449809 141504983 187249045 569844391 707524915 2849221955 21084242467 105421212335