Search a number
1001100000 = 253554771

1001100000 has 288 divisors, whose sum is σ = 3401782272. Its totient is φ = 257600000.

The previous prime is 1001099971. The next prime is 1001100007. The reversal of 1001100000 is 11001.

Adding to 1001100000 its reverse (11001), we get a palindrome (1001111001).

It is a Harshad number since it is a multiple of its sum of digits (3).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001100007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14099965 + ... + 14100035.

It is an arithmetic number, because the mean of its divisors is an integer number (11811744).

Almost surely, 21001100000 is an apocalyptic number.

1001100000 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 1001100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1700891136).

1001100000 is an abundant number, since it is smaller than the sum of its proper divisors (2400682272).

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

1001100000 is an frugal number, since it uses more digits than its factorization.

1001100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 3.

The square root of 1001100000 is about 31640.1643484986. The cubic root of 1001100000 is about 1000.3665323043.

The spelling of 1001100000 in words is "one billion, one million, one hundred thousand".