Search a number
-
+
1001001000000 = 26356333667
BaseRepresentation
bin11101001000100000100…
…11110001110001000000
310112200202110222111100010
432210100103301301000
5112400022224000000
62043504205224520
7132214511053251
oct16442023616100
93480673874303
101001001000000
11356581a72021
12142001262140
1373517795c31
143663d374b28
151b089593d50
hexe9104f1c40

1001001000000 has 196 divisors, whose sum is σ = 3310569811664. Its totient is φ = 266932800000.

The previous prime is 1001000999987. The next prime is 1001001000019. The reversal of 1001001000000 is 1001001.

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 an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 2833167 + ... + 3166833.

Almost surely, 21001001000000 is an apocalyptic number.

1001001000000 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 1001001000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1655284905832).

1001001000000 is an abundant number, since it is smaller than the sum of its proper divisors (2309568811664).

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

1001001000000 is an frugal number, since it uses more digits than its factorization.

1001001000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333712 (or 333677 counting only the distinct ones).

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

Adding to 1001001000000 its reverse (1001001), we get a palindrome (1001002001001).

1001001000000 divided by its reverse (1001001) gives a 6-th power (1000000 = 106).

The spelling of 1001001000000 in words is "one trillion, one billion, one million", and thus it is an aban number and an uban number.