Search a number
-
+
1141200100 = 225211412001
BaseRepresentation
bin100010000000101…
…0101010011100100
32221112100222020101
41010001111103210
54314121400400
6305123513444
740165016665
oct10401252344
92845328211
101141200100
115361a5587
1227a228884
13152577841
14ab7c536c
156a2c356a
hex440554e4

1141200100 has 18 divisors (see below), whose sum is σ = 2476404434. Its totient is φ = 456480000.

The previous prime is 1141200061. The next prime is 1141200103. The reversal of 1141200100 is 10021411.

It can be written as a sum of positive squares in 3 ways, for example, as 381924 + 1140818176 = 618^2 + 33776^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (1141200103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5705901 + ... + 5706100.

Almost surely, 21141200100 is an apocalyptic number.

1141200100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1141200100 is an abundant number, since it is smaller than the sum of its proper divisors (1335204334).

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

1141200100 is a wasteful number, since it uses less digits than its factorization.

1141200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11412015 (or 11412008 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 1141200100 is about 33781.6533047156. The cubic root of 1141200100 is about 1045.0103705388.

Adding to 1141200100 its reverse (10021411), we get a palindrome (1151221511).

Subtracting from 1141200100 its reverse (10021411), we obtain a square (1131178689 = 336332).

The spelling of 1141200100 in words is "one billion, one hundred forty-one million, two hundred thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 11412001 22824002 45648004 57060005 114120010 228240020 285300025 570600050 1141200100