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105333664146 = 2356331182257
BaseRepresentation
bin110001000011001100…
…0000010100110010010
3101001212212212112222020
41202012120002212102
53211210404223041
6120220053552310
710416160241514
oct1420630024622
9331785775866
10105333664146
114074311a9a7
12184b8045696
139c18824b29
145153579bb4
152b175ee866
hex1886602992

105333664146 has 16 divisors (see below), whose sum is σ = 211041522144. Its totient is φ = 35048855744.

The previous prime is 105333664109. The next prime is 105333664157. The reversal of 105333664146 is 641466333501.

It is a super-2 number, since 2×1053336641462 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105333664098 and 105333664107.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15587751 + ... + 15594506.

It is an arithmetic number, because the mean of its divisors is an integer number (13190095134).

Almost surely, 2105333664146 is an apocalyptic number.

105333664146 is an abundant number, since it is smaller than the sum of its proper divisors (105707857998).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105333664146 is a wasteful number, since it uses less digits than its factorization.

105333664146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31182825.

The product of its (nonzero) digits is 466560, while the sum is 42.

Adding to 105333664146 its reverse (641466333501), we get a palindrome (746799997647).

The spelling of 105333664146 in words is "one hundred five billion, three hundred thirty-three million, six hundred sixty-four thousand, one hundred forty-six".

Divisors: 1 2 3 6 563 1126 1689 3378 31182257 62364514 93546771 187093542 17555610691 35111221382 52666832073 105333664146