Search a number
-
+
1021201200 = 243252331857
BaseRepresentation
bin111100110111100…
…100101100110000
32122011120101200200
4330313210230300
54042411414300
6245155515200
734210031655
oct7467445460
92564511620
101021201200
11484494638
12245bb8b00
13133751286
14998a9c2c
155e9bd200
hex3cde4b30

1021201200 has 180 divisors, whose sum is σ = 3558706008. Its totient is φ = 271180800.

The previous prime is 1021201187. The next prime is 1021201201. The reversal of 1021201200 is 21021201.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (1021201201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1191172 + ... + 1192028.

Almost surely, 21021201200 is an apocalyptic number.

1021201200 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 1021201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1779353004).

1021201200 is an abundant number, since it is smaller than the sum of its proper divisors (2537504808).

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

1021201200 is a wasteful number, since it uses less digits than its factorization.

1021201200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1212 (or 1198 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1021201200 is about 31956.2388274966. The cubic root of 1021201200 is about 1007.0177033040.

Adding to 1021201200 its reverse (21021201), we get a palindrome (1042222401).

The spelling of 1021201200 in words is "one billion, twenty-one million, two hundred one thousand, two hundred".