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BaseRepresentation
bin11101011001011101010…
…10001000011010011000
310120120020121120020002020
432230232222020122120
5113022141112023000
62052011130534440
7132656136164541
oct16545652103230
93516217506066
101010100111000
1135a4211a7872
12143920597420
1374337938196
1436c639c94c8
151b41d2ebba0
hexeb2ea88698

1010100111000 has 256 divisors, whose sum is σ = 3248816688000. Its totient is φ = 261098035200.

The previous prime is 1010100110959. The next prime is 1010100111001. The reversal of 1010100111000 is 1110010101.

Adding to 1010100111000 its reverse (1110010101), we get a palindrome (1011210121101).

It is a Harshad number since it is a multiple of its sum of digits (6).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1010100111000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010100111001) 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 63 ways as a sum of consecutive naturals, for example, 29842086 + ... + 29875914.

Almost surely, 21010100111000 is an apocalyptic number.

1010100111000 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 1010100111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1624408344000).

1010100111000 is an abundant number, since it is smaller than the sum of its proper divisors (2238716577000).

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

1010100111000 is a wasteful number, since it uses less digits than its factorization.

1010100111000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34159 (or 34145 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 6.

The spelling of 1010100111000 in words is "one trillion, ten billion, one hundred million, one hundred eleven thousand".