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105331314 = 23111595929
BaseRepresentation
bin1100100011100…
…11101001110010
321100012101101210
412101303221302
5203431100224
614241340550
72416205244
oct621635162
9240171353
10105331314
1154502a80
122b337756
1318a8c32a
14ddbc094
1593a9429
hex6473a72

105331314 has 16 divisors (see below), whose sum is σ = 229813920. Its totient is φ = 31918560.

The previous prime is 105331279. The next prime is 105331319. The reversal of 105331314 is 413133501.

It is a super-2 number, since 2×1053313142 = 22189371417933192, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (105331319) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 797899 + ... + 798030.

It is an arithmetic number, because the mean of its divisors is an integer number (14363370).

Almost surely, 2105331314 is an apocalyptic number.

105331314 is an abundant number, since it is smaller than the sum of its proper divisors (124482606).

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

105331314 is a wasteful number, since it uses less digits than its factorization.

105331314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1595945.

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 105331314 is about 10263.1045010757. The cubic root of 105331314 is about 472.2650796033.

Adding to 105331314 its reverse (413133501), we get a palindrome (518464815).

The spelling of 105331314 in words is "one hundred five million, three hundred thirty-one thousand, three hundred fourteen".

Divisors: 1 2 3 6 11 22 33 66 1595929 3191858 4787787 9575574 17555219 35110438 52665657 105331314