Search a number
-
+
1032300100 = 225213794077
BaseRepresentation
bin111101100001111…
…010011001000100
32122221110021112001
4331201322121010
54103232100400
6250233435044
734403256166
oct7541723104
92587407461
101032300100
1148a785387
1224986ba84
13135b39080
149b158936
1560961a6a
hex3d87a644

1032300100 has 36 divisors (see below), whose sum is σ = 2412408964. Its totient is φ = 381156480.

The previous prime is 1032300089. The next prime is 1032300119. The reversal of 1032300100 is 10032301.

1032300100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 1633284 + 1030666816 = 1278^2 + 32104^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 395739 + ... + 398338.

Almost surely, 21032300100 is an apocalyptic number.

1032300100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1032300100 is an abundant number, since it is smaller than the sum of its proper divisors (1380108864).

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

1032300100 is a wasteful number, since it uses less digits than its factorization.

1032300100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794104 (or 794097 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 1032300100 is about 32129.4273213825. The cubic root of 1032300100 is about 1010.6528145725.

Adding to 1032300100 its reverse (10032301), we get a palindrome (1042332401).

The spelling of 1032300100 in words is "one billion, thirty-two million, three hundred thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 794077 1588154 3176308 3970385 7940770 10323001 15881540 19851925 20646002 39703850 41292004 51615005 79407700 103230010 206460020 258075025 516150050 1032300100