Cookie Consent by FreePrivacyPolicy.com
Search a number
-
+
1102100 = 2252103107
BaseRepresentation
bin100001101000100010100
32001222210112
410031010110
5240231400
635342152
712240056
oct4150424
92058715
101102100
1169302a
12451958
132c783c
142098d6
1516b835
hex10d114

1102100 has 36 divisors (see below), whose sum is σ = 2437344. Its totient is φ = 432480.

The previous prime is 1102069. The next prime is 1102111. The reversal of 1102100 is 12011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10247 + ... + 10353.

It is an arithmetic number, because the mean of its divisors is an integer number (67704).

21102100 is an apocalyptic number.

1102100 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 1102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1218672).

1102100 is an abundant number, since it is smaller than the sum of its proper divisors (1335244).

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

1102100 is a wasteful number, since it uses less digits than its factorization.

1102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 5.

The square root of 1102100 is about 1049.8095065296. The cubic root of 1102100 is about 103.2936603396.

Adding to 1102100 its reverse (12011), we get a palindrome (1114111).

The spelling of 1102100 in words is "one million, one hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 103 107 206 214 412 428 515 535 1030 1070 2060 2140 2575 2675 5150 5350 10300 10700 11021 22042 44084 55105 110210 220420 275525 551050 1102100