Search a number
-
+
1046181125 = 531122632
BaseRepresentation
bin111110010110110…
…111010100000101
32200220120111201002
4332112313110011
54120310244000
6251451143045
734632251513
oct7626672405
92626514632
101046181125
114975a6400
12252444a85
131389892b2
149cd2d4b3
1561ca48d5
hex3e5b7505

1046181125 has 36 divisors (see below), whose sum is σ = 1440595884. Its totient is φ = 757966000.

The previous prime is 1046181077. The next prime is 1046181127. The reversal of 1046181125 is 5211816401.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 33477796 + 1012703329 = 5786^2 + 31823^2 .

It is not a de Polignac number, because 1046181125 - 214 = 1046164741 is a prime.

It is a super-3 number, since 3×10461811253 (a number of 28 digits) contains 333 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 (1046181127) 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 35 ways as a sum of consecutive naturals, for example, 3977744 + ... + 3978006.

Almost surely, 21046181125 is an apocalyptic number.

It is an amenable number.

1046181125 is a deficient number, since it is larger than the sum of its proper divisors (394414759).

1046181125 is an frugal number, since it uses more digits than its factorization.

1046181125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 29.

The square root of 1046181125 is about 32344.7232945345. The cubic root of 1046181125 is about 1015.1626406689.

Adding to 1046181125 its reverse (5211816401), we get a palindrome (6257997526).

The spelling of 1046181125 in words is "one billion, forty-six million, one hundred eighty-one thousand, one hundred twenty-five".

Divisors: 1 5 11 25 55 121 125 263 275 605 1315 1375 2893 3025 6575 14465 15125 31823 32875 69169 72325 159115 345845 361625 760859 795575 1729225 3804295 3977875 8369449 8646125 19021475 41847245 95107375 209236225 1046181125