Search a number
1000100000 = 255573137
BaseRepresentation
bin111011100111000…
…101000010100000
32120200212100021202
4323213011002200
54022011200000
6243123340332
733532465304
oct7347050240
92520770252
101000100000
11473591a29
1223ab216a8
1312c273863
1496b75d04
155cc00dd5
hex3b9c50a0

1000100000 has 144 divisors (see below), whose sum is σ = 2512948536. Its totient is φ = 391680000.

The previous prime is 1000099999. The next prime is 1000100009. The reversal of 1000100000 is 10001.

1000100000 is nontrivially palindromic in base 9.

It can be written as a sum of positive squares in 12 ways, for example, as 385258384 + 614841616 = 19628^2 + 24796^2 .

It is a sliding number, since 1000100000 = 100000 + 1000000000 and 1/100000 + 1/1000000000 = 0.00001000100000.

It is a Harshad number since it is a multiple of its sum of digits (2).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (1000100009) 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 23 ways as a sum of consecutive naturals, for example, 7299932 + ... + 7300068.

Almost surely, 21000100000 is an apocalyptic number.

1000100000 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 1000100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1256474268).

1000100000 is an abundant number, since it is smaller than the sum of its proper divisors (1512848536).

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

1000100000 is an frugal number, since it uses more digits than its factorization.

1000100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 2.

The square root of 1000100000 is about 31624.3577009874. The cubic root of 1000100000 is about 1000.0333322223.

Adding to 1000100000 its reverse (10001), we get a palindrome (1000110001).

1000100000 divided by its reverse (10001) gives a 5-th power (100000 = 105).

The spelling of 1000100000 in words is "one billion, one hundred thousand".