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1000010100000 = 2535523373917
BaseRepresentation
bin11101000110101010011…
…11110010110100100000
310112121012102102120002010
432203111033302310200
5112341010041200000
62043222010552520
7132151116413052
oct16432517626440
93477172376063
101000010100000
113561136a41aa
12141985438740
13733ba3c3a82
14365879158d2
151b02c5add50
hexe8d53f2d20

1000010100000 has 576 divisors, whose sum is σ = 3517159387392. Its totient is φ = 248117760000.

The previous prime is 1000010099987. The next prime is 1000010100007. The reversal of 1000010100000 is 10100001.

1000010100000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 not an unprimeable number, because it can be changed into a prime (1000010100007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 255298042 + ... + 255301958.

It is an arithmetic number, because the mean of its divisors is an integer number (6106179492).

Almost surely, 21000010100000 is an apocalyptic number.

1000010100000 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 1000010100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1758579693696).

1000010100000 is an abundant number, since it is smaller than the sum of its proper divisors (2517149287392).

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

1000010100000 is an equidigital number, since it uses as much as digits as its factorization.

1000010100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4015 (or 3987 counting only the distinct ones).

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

Adding to 1000010100000 its reverse (10100001), we get a palindrome (1000020200001).

Subtracting from 1000010100000 its reverse (10100001), we obtain a palindrome (999999999999).

The spelling of 1000010100000 in words is "one trillion, ten million, one hundred thousand".