Search a number
-
+
1001332134 = 2321135914087
BaseRepresentation
bin111011101011110…
…001110110100110
32120210011221110100
4323223301312212
54022320112014
6243210004530
733546116445
oct7353616646
92523157410
101001332134
11474253720
1223b416746
1312c5b562a
1496db6d5c
155cd96009
hex3baf1da6

1001332134 has 48 divisors (see below), whose sum is σ = 2373546240. Its totient is φ = 302567280.

The previous prime is 1001332109. The next prime is 1001332151. The reversal of 1001332134 is 4312331001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64039 + ... + 78125.

It is an arithmetic number, because the mean of its divisors is an integer number (49448880).

Almost surely, 21001332134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1001332134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1186773120).

1001332134 is an abundant number, since it is smaller than the sum of its proper divisors (1372214106).

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

1001332134 is a wasteful number, since it uses less digits than its factorization.

1001332134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14465 (or 14462 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1001332134 is about 31643.8324796476. The cubic root of 1001332134 is about 1000.4438476368.

Adding to 1001332134 its reverse (4312331001), we get a palindrome (5313663135).

The spelling of 1001332134 in words is "one billion, one million, three hundred thirty-two thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 359 718 1077 2154 3231 3949 6462 7898 11847 14087 23694 28174 35541 42261 71082 84522 126783 154957 253566 309914 464871 929742 1394613 2789226 5057233 10114466 15171699 30343398 45515097 55629563 91030194 111259126 166888689 333777378 500666067 1001332134