Search a number
-
+
105000233 = 138076941
BaseRepresentation
bin1100100001000…
…10110100101001
321022120120020112
412100202310221
5203340001413
614230304105
72413326062
oct620426451
9238516215
10105000233
11542a7258
122b1b8035
13189a4720
14dd33569
1593412a8
hex6422d29

105000233 has 4 divisors (see below), whose sum is σ = 113077188. Its totient is φ = 96923280.

The previous prime is 105000197. The next prime is 105000239. The reversal of 105000233 is 332000501.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 332000501 = 747428643.

It can be written as a sum of positive squares in 2 ways, for example, as 4439449 + 100560784 = 2107^2 + 10028^2 .

It is a cyclic number.

It is not a de Polignac number, because 105000233 - 26 = 105000169 is a prime.

It is a super-2 number, since 2×1050002332 = 22050097860108578, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105000239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4038458 + ... + 4038483.

It is an arithmetic number, because the mean of its divisors is an integer number (28269297).

Almost surely, 2105000233 is an apocalyptic number.

105000233 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

105000233 is a deficient number, since it is larger than the sum of its proper divisors (8076955).

105000233 is an equidigital number, since it uses as much as digits as its factorization.

105000233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8076954.

The product of its (nonzero) digits is 90, while the sum is 14.

The square root of 105000233 is about 10246.9621351891. The cubic root of 105000233 is about 471.7697469910.

Adding to 105000233 its reverse (332000501), we get a palindrome (437000734).

The spelling of 105000233 in words is "one hundred five million, two hundred thirty-three", and thus it is an aban number.

Divisors: 1 13 8076941 105000233