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BaseRepresentation
bin10110110000101001011111…
…100000010010011000100000
3111010102110212210010112100012
4112300221133200102120200
5101110020011141200000
6552521204501344052
730040665021020063
oct2660513740223040
9433373783115305
10100100110100000
112999324460200a
12b2880a4408028
1343b15276c43ca
141aa0c2a7328da
15b88c78506735
hex5b0a5f812620

100100110100000 has 576 divisors, whose sum is σ = 264342295010304. Its totient is φ = 37217664000000.

The previous prime is 100100110099993. The next prime is 100100110100021. The reversal of 100100110100000 is 1011001001.

Adding to 100100110100000 its reverse (1011001001), we get a palindrome (100101121101001).

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

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 25555298042 + ... + 25555301958.

It is an arithmetic number, because the mean of its divisors is an integer number (458927595504).

Almost surely, 2100100110100000 is an apocalyptic number.

100100110100000 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 100100110100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132171147505152).

100100110100000 is an abundant number, since it is smaller than the sum of its proper divisors (164242184910304).

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

100100110100000 is an equidigital number, since it uses as much as digits as its factorization.

100100110100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4287 (or 4259 counting only the distinct ones).

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

The spelling of 100100110100000 in words is "one hundred trillion, one hundred billion, one hundred ten million, one hundred thousand".