Search a number
-
+
1001132180 = 22550056609
BaseRepresentation
bin111011101011000…
…001000010010100
32120202210210011122
4323223001002110
54022242212210
6243201423112
733544324466
oct7353010224
92522723148
101001132180
11474127474
1223b33aa98
1312c545609
1496d64136
155cd56b55
hex3bac1094

1001132180 has 12 divisors (see below), whose sum is σ = 2102377620. Its totient is φ = 400452864.

The previous prime is 1001132179. The next prime is 1001132213. The reversal of 1001132180 is 812311001.

It can be written as a sum of positive squares in 2 ways, for example, as 144048004 + 857084176 = 12002^2 + 29276^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 25028285 + ... + 25028324.

It is an arithmetic number, because the mean of its divisors is an integer number (175198135).

Almost surely, 21001132180 is an apocalyptic number.

1001132180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001132180 is an abundant number, since it is smaller than the sum of its proper divisors (1101245440).

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

1001132180 is a wasteful number, since it uses less digits than its factorization.

1001132180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50056618 (or 50056616 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 17.

The square root of 1001132180 is about 31640.6728752724. The cubic root of 1001132180 is about 1000.3772509971.

Adding to 1001132180 its reverse (812311001), we get a palindrome (1813443181).

The spelling of 1001132180 in words is "one billion, one million, one hundred thirty-two thousand, one hundred eighty".

Divisors: 1 2 4 5 10 20 50056609 100113218 200226436 250283045 500566090 1001132180