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1000100110000 = 2454107934673
BaseRepresentation
bin11101000110110101001…
…11001001111010110000
310112121102200210112120211
432203122213021322300
5112341201112010000
62043234544113504
7132153261446635
oct16433247117260
93477380715524
101000100110000
1135615a492032
121419ab605894
1373402c4a424
143659586618c
151b03543d7ba
hexe8da9c9eb0

1000100110000 has 100 divisors (see below), whose sum is σ = 2443974359112. Its totient is φ = 396300928000.

The previous prime is 1000100109997. The next prime is 1000100110021. The reversal of 1000100110000 is 110010001.

Adding to 1000100110000 its reverse (110010001), we get a palindrome (1000210120001).

Subtracting from 1000100110000 its reverse (110010001), we obtain a palindrome (999990099999).

It can be divided in two parts, 10001001 and 10000, that added together give a palindrome (10011001).

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (4).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 602664 + ... + 1537336.

Almost surely, 21000100110000 is an apocalyptic number.

1000100110000 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 1000100110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1221987179556).

1000100110000 is an abundant number, since it is smaller than the sum of its proper divisors (1443874249112).

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

1000100110000 is an equidigital number, since it uses as much as digits as its factorization.

1000100110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 934808 (or 934787 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 4.

The spelling of 1000100110000 in words is "one trillion, one hundred million, one hundred ten thousand".