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1200201020 = 225174018803
BaseRepresentation
bin100011110001001…
…1001110100111100
310002122101112021122
41013202121310330
54424222413040
6315032250112
741512353224
oct10742316474
93078345248
101200201020
11566533877
12295b40938
13161864b25
14b5583084
157057a1b5
hex47899d3c

1200201020 has 48 divisors (see below), whose sum is σ = 2675641248. Its totient is φ = 450662400.

The previous prime is 1200201007. The next prime is 1200201029. The reversal of 1200201020 is 201020021.

It is a junction number, because it is equal to n+sod(n) for n = 1200200989 and 1200201007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1200201029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131939 + ... + 140741.

It is an arithmetic number, because the mean of its divisors is an integer number (55742526).

Almost surely, 21200201020 is an apocalyptic number.

1200201020 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 1200201020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1337820624).

1200201020 is an abundant number, since it is smaller than the sum of its proper divisors (1475440228).

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

1200201020 is a wasteful number, since it uses less digits than its factorization.

1200201020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9230 (or 9228 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 1200201020 is about 34643.9175036542. The cubic root of 1200201020 is about 1062.7179035433.

Adding to 1200201020 its reverse (201020021), we get a palindrome (1401221041).

The spelling of 1200201020 in words is "one billion, two hundred million, two hundred one thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 401 802 1604 2005 4010 6817 8020 8803 13634 17606 27268 34085 35212 44015 68170 88030 136340 149651 176060 299302 598604 748255 1496510 2993020 3530003 7060006 14120012 17650015 35300030 60010051 70600060 120020102 240040204 300050255 600100510 1200201020