Search a number
-
+
1111410100 = 225211114101
BaseRepresentation
bin100001000111110…
…1100010110110100
32212110022111001001
41002033230112310
54234010110400
6302141213044
736353554453
oct10217542664
92773274031
101111410100
115203a8949
12270261184
13149347318
14a786cb9a
156788ba6a
hex423ec5b4

1111410100 has 18 divisors (see below), whose sum is σ = 2411760134. Its totient is φ = 444564000.

The previous prime is 1111410043. The next prime is 1111410101. The reversal of 1111410100 is 10141111.

It can be written as a sum of positive squares in 3 ways, for example, as 208167184 + 903242916 = 14428^2 + 30054^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1111410101) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5556951 + ... + 5557150.

Almost surely, 21111410100 is an apocalyptic number.

1111410100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1111410100 is an abundant number, since it is smaller than the sum of its proper divisors (1300350034).

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

1111410100 is a wasteful number, since it uses less digits than its factorization.

1111410100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11114115 (or 11114108 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

The square root of 1111410100 is about 33337.8178650013. The cubic root of 1111410100 is about 1035.8370631189.

Adding to 1111410100 its reverse (10141111), we get a palindrome (1121551211).

The spelling of 1111410100 in words is "one billion, one hundred eleven million, four hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 11114101 22228202 44456404 55570505 111141010 222282020 277852525 555705050 1111410100