Search a number
-
+
1200201000 = 23353400067
BaseRepresentation
bin100011110001001…
…1001110100101000
310002122101112020220
41013202121310220
54424222413000
6315032250040
741512353165
oct10742316450
93078345226
101200201000
11566533859
12295b40920
13161864b0b
14b558306c
157057a1a0
hex47899d28

1200201000 has 64 divisors (see below), whose sum is σ = 3744636480. Its totient is φ = 320052800.

The previous prime is 1200200933. The next prime is 1200201007. The reversal of 1200201000 is 1020021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1200201000.

It is not an unprimeable number, because it can be changed into a prime (1200201007) 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, 197034 + ... + 203033.

It is an arithmetic number, because the mean of its divisors is an integer number (58509945).

Almost surely, 21200201000 is an apocalyptic number.

1200201000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1200201000 is an abundant number, since it is smaller than the sum of its proper divisors (2544435480).

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

1200201000 is a wasteful number, since it uses less digits than its factorization.

1200201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400091 (or 400077 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 1200201000 is about 34643.9172150033. The cubic root of 1200201000 is about 1062.7178976403.

Adding to 1200201000 its reverse (1020021), we get a palindrome (1201221021).

The spelling of 1200201000 in words is "one billion, two hundred million, two hundred one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 400067 800134 1200201 1600268 2000335 2400402 3200536 4000670 4800804 6001005 8001340 9601608 10001675 12002010 16002680 20003350 24004020 30005025 40006700 48008040 50008375 60010050 80013400 100016750 120020100 150025125 200033500 240040200 300050250 400067000 600100500 1200201000