Search a number
-
+
100031133 = 342597829
BaseRepresentation
bin1011111011001…
…01101010011101
320222020002220210
411331211222131
5201101444013
613532003033
72323151646
oct575455235
9228202823
10100031133
1151512964
1229600479
1317954a27
14d3dc6cd
158badcc3
hex5f65a9d

100031133 has 8 divisors (see below), whose sum is σ = 133423200. Its totient is φ = 66663248.

The previous prime is 100031101. The next prime is 100031159. The reversal of 100031133 is 331130001.

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

It is a cyclic number.

It is not a de Polignac number, because 100031133 - 25 = 100031101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100033133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8863 + ... + 16691.

It is an arithmetic number, because the mean of its divisors is an integer number (16677900).

Almost surely, 2100031133 is an apocalyptic number.

It is an amenable number.

100031133 is a deficient number, since it is larger than the sum of its proper divisors (33392067).

100031133 is an equidigital number, since it uses as much as digits as its factorization.

100031133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12091.

The product of its (nonzero) digits is 27, while the sum is 12.

The square root of 100031133 is about 10001.5565288609. The cubic root of 100031133 is about 464.2070472251.

Adding to 100031133 its reverse (331130001), we get a palindrome (431161134).

The spelling of 100031133 in words is "one hundred million, thirty-one thousand, one hundred thirty-three".

Divisors: 1 3 4259 7829 12777 23487 33343711 100031133