Search a number
-
+
1114432100 = 225211144321
BaseRepresentation
bin100001001101100…
…1110001001100100
32212200000000102222
41002123032021210
54240243311400
6302330051512
736421342115
oct10233161144
92780000388
101114432100
11522082371
12271279b98
13149b649a2
14a801820c
1567c87185
hex426ce264

1114432100 has 18 divisors (see below), whose sum is σ = 2418317874. Its totient is φ = 445772800.

The previous prime is 1114432063. The next prime is 1114432129. The reversal of 1114432100 is 12344111.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 239692324 + 874739776 = 15482^2 + 29576^2 .

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 5572061 + ... + 5572260.

It is an arithmetic number, because the mean of its divisors is an integer number (134350993).

Almost surely, 21114432100 is an apocalyptic number.

1114432100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1114432100 is an abundant number, since it is smaller than the sum of its proper divisors (1303885774).

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

1114432100 is a wasteful number, since it uses less digits than its factorization.

1114432100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11144335 (or 11144328 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 1114432100 is about 33383.1109994260. The cubic root of 1114432100 is about 1036.7750507308.

Adding to 1114432100 its reverse (12344111), we get a palindrome (1126776211).

The spelling of 1114432100 in words is "one billion, one hundred fourteen million, four hundred thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 11144321 22288642 44577284 55721605 111443210 222886420 278608025 557216050 1114432100