Search a number
-
+
1212200100 = 2233524353197
BaseRepresentation
bin100100001000000…
…1011010010100100
310010110222010221000
41020100023102210
54440310400400
6320141353300
742016350036
oct11020132244
93113863830
101212200100
11572289971
12299b68830
131641a6587
14b6dc7c56
157164a600
hex4840b4a4

1212200100 has 288 divisors, whose sum is σ = 4083488640. Its totient is φ = 308206080.

The previous prime is 1212200089. The next prime is 1212200107. The reversal of 1212200100 is 10022121.

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 (1212200107) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6153202 + ... + 6153398.

It is an arithmetic number, because the mean of its divisors is an integer number (14178780).

Almost surely, 21212200100 is an apocalyptic number.

1212200100 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 1212200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2041744320).

1212200100 is an abundant number, since it is smaller than the sum of its proper divisors (2871288540).

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

1212200100 is a wasteful number, since it uses less digits than its factorization.

1212200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 303 counting only the distinct ones).

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

The square root of 1212200100 is about 34816.6641136109. The cubic root of 1212200100 is about 1066.2476946130.

Adding to 1212200100 its reverse (10022121), we get a palindrome (1222222221).

The spelling of 1212200100 in words is "one billion, two hundred twelve million, two hundred thousand, one hundred".