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1010001110000 = 24541728121143
BaseRepresentation
bin11101011001010001100…
…00011110001111110000
310120112222201021110020112
432230220300132033300
5113021440241010000
62051553233000452
7132653524533101
oct16545060361760
93515881243215
101010001110000
1135a380328963
121438b33b3128
13743202842cc
1436c547b83a8
151b414793235
hexeb28c1e3f0

1010001110000 has 200 divisors, whose sum is σ = 2598492641184. Its totient is φ = 378864640000.

The previous prime is 1010001109963. The next prime is 1010001110009. The reversal of 1010001110000 is 111000101.

1010001110000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010001110009) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 47759429 + ... + 47780571.

Almost surely, 21010001110000 is an apocalyptic number.

1010001110000 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 1010001110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1299246320592).

1010001110000 is an abundant number, since it is smaller than the sum of its proper divisors (1588491531184).

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

1010001110000 is a wasteful number, since it uses less digits than its factorization.

1010001110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21469 (or 21448 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 1010001110000 its reverse (111000101), we get a palindrome (1010112110101).

The spelling of 1010001110000 in words is "one trillion, ten billion, one million, one hundred ten thousand".