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10001323000 = 235310199023
BaseRepresentation
bin10010101000010000…
…00001001111111000
3221211000020211221101
421110020001033320
5130440314314000
64332231021144
7502561562044
oct112410011770
927730224841
1010001323000
114272538aa9
121b3150a7b4
13c35061706
146ac3c9024
153d806ee6a
hex2542013f8

10001323000 has 64 divisors (see below), whose sum is σ = 23635048320. Its totient is φ = 3960880000.

The previous prime is 10001322997. The next prime is 10001323009. The reversal of 10001323000 is 32310001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001323009) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 51489 + ... + 150511.

It is an arithmetic number, because the mean of its divisors is an integer number (369297630).

Almost surely, 210001323000 is an apocalyptic number.

10001323000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10001323000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11817524160).

10001323000 is an abundant number, since it is smaller than the sum of its proper divisors (13633725320).

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

10001323000 is a wasteful number, since it uses less digits than its factorization.

10001323000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99145 (or 99131 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

Adding to 10001323000 its reverse (32310001), we get a palindrome (10033633001).

The spelling of 10001323000 in words is "ten billion, one million, three hundred twenty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 101 125 200 202 250 404 500 505 808 1000 1010 2020 2525 4040 5050 10100 12625 20200 25250 50500 99023 101000 198046 396092 495115 792184 990230 1980460 2475575 3960920 4951150 9902300 10001323 12377875 19804600 20002646 24755750 40005292 49511500 50006615 80010584 99023000 100013230 200026460 250033075 400052920 500066150 1000132300 1250165375 2000264600 2500330750 5000661500 10001323000