Search a number
-
+
1125300100 = 225212139277
BaseRepresentation
bin100001100010010…
…1011011110000100
32220102110011112111
41003010223132010
54301034100400
6303355030404
736612615211
oct10304533604
92812404474
101125300100
11528225691
12274a3b404
1314c19b662
14a9646b08
1568bd23ba
hex4312b784

1125300100 has 36 divisors (see below), whose sum is σ = 2444177764. Its totient is φ = 449700480.

The previous prime is 1125299999. The next prime is 1125300101. The reversal of 1125300100 is 10035211.

It can be written as a sum of positive squares in 6 ways, for example, as 74373376 + 1050926724 = 8624^2 + 32418^2 .

It is not an unprimeable number, because it can be changed into a prime (1125300101) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 116662 + ... + 125938.

Almost surely, 21125300100 is an apocalyptic number.

1125300100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1125300100 is an abundant number, since it is smaller than the sum of its proper divisors (1318877664).

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

1125300100 is a wasteful number, since it uses less digits than its factorization.

1125300100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10504 (or 10497 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 13.

The square root of 1125300100 is about 33545.4929908624. The cubic root of 1125300100 is about 1040.1343822900.

Adding to 1125300100 its reverse (10035211), we get a palindrome (1135335311).

The spelling of 1125300100 in words is "one billion, one hundred twenty-five million, three hundred thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1213 2426 4852 6065 9277 12130 18554 24260 30325 37108 46385 60650 92770 121300 185540 231925 463850 927700 11253001 22506002 45012004 56265005 112530010 225060020 281325025 562650050 1125300100