Search a number
-
+
105314231 = 1125737253
BaseRepresentation
bin1100100011011…
…11011110110111
321100011111222002
412101233132313
5203430023411
614241125515
72416104401
oct621573667
9240144862
10105314231
11544a1160
122b32989b
1318a84619
14ddb5b71
1593a433b
hex646f7b7

105314231 has 8 divisors (see below), whose sum is σ = 115338384. Its totient is φ = 95365120.

The previous prime is 105314219. The next prime is 105314273. The reversal of 105314231 is 132413501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-105314231 is a prime.

It is a super-2 number, since 2×1053142312 = 22182174502242722, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105314291) 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, 15800 + ... + 21453.

It is an arithmetic number, because the mean of its divisors is an integer number (14417298).

Almost surely, 2105314231 is an apocalyptic number.

105314231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

105314231 is a deficient number, since it is larger than the sum of its proper divisors (10024153).

105314231 is a wasteful number, since it uses less digits than its factorization.

105314231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37521.

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 105314231 is about 10262.2722142808. The cubic root of 105314231 is about 472.2395470235.

Adding to 105314231 its reverse (132413501), we get a palindrome (237727732).

The spelling of 105314231 in words is "one hundred five million, three hundred fourteen thousand, two hundred thirty-one".

Divisors: 1 11 257 2827 37253 409783 9574021 105314231