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105218083341 = 3271670128307
BaseRepresentation
bin110000111111101111…
…1001000101000001101
3101001120211101102220200
41201333133020220031
53210441312131331
6120200404404113
710413254644320
oct1417737105015
9331524342820
10105218083341
1140693957378
12184853a6639
139bca8b7517
1451420907b7
152b0c3bd5e6
hex187f7c8a0d

105218083341 has 12 divisors (see below), whose sum is σ = 173693344032. Its totient is φ = 60124619016.

The previous prime is 105218083337. The next prime is 105218083343. The reversal of 105218083341 is 143380812501.

105218083341 is a `hidden beast` number, since 10 + 52 + 180 + 83 + 341 = 666.

It is not a de Polignac number, because 105218083341 - 22 = 105218083337 is a prime.

It is a super-2 number, since 2×1052180833412 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105218083296 and 105218083305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105218083343) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 835064091 + ... + 835064216.

It is an arithmetic number, because the mean of its divisors is an integer number (14474445336).

Almost surely, 2105218083341 is an apocalyptic number.

It is an amenable number.

105218083341 is a deficient number, since it is larger than the sum of its proper divisors (68475260691).

105218083341 is a wasteful number, since it uses less digits than its factorization.

105218083341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1670128320 (or 1670128317 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

Adding to 105218083341 its reverse (143380812501), we get a palindrome (248598895842).

The spelling of 105218083341 in words is "one hundred five billion, two hundred eighteen million, eighty-three thousand, three hundred forty-one".

Divisors: 1 3 7 9 21 63 1670128307 5010384921 11690898149 15031154763 35072694447 105218083341