Search a number
-
+
100000450000 = 245511216529
BaseRepresentation
bin101110100100001111…
…1011100010111010000
3100120010012111012112101
41131020133130113100
53114300103400000
6113534540410144
710140050541313
oct1351037342720
9316105435471
10100000450000
1139456713200
1217469b46954
139578939509
144ba913a97a
1529042c7e6a
hex17487dc5d0

100000450000 has 180 divisors, whose sum is σ = 266206360140. Its totient is φ = 36361600000.

The previous prime is 100000449947. The next prime is 100000450007. The reversal of 100000450000 is 54000001.

It can be written as a sum of positive squares in 6 ways, for example, as 61714483776 + 38285966224 = 248424^2 + 195668^2 .

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

100000450000 is a modest number, since divided by 450000 gives 100000 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100000450007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6041736 + ... + 6058264.

It is an arithmetic number, because the mean of its divisors is an integer number (1478924223).

Almost surely, 2100000450000 is an apocalyptic number.

100000450000 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 100000450000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133103180070).

100000450000 is an abundant number, since it is smaller than the sum of its proper divisors (166205910140).

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

100000450000 is an equidigital number, since it uses as much as digits as its factorization.

100000450000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16584 (or 16547 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 10.

Adding to 100000450000 its reverse (54000001), we get a palindrome (100054450001).

The spelling of 100000450000 in words is "one hundred billion, four hundred fifty thousand".