Search a number
-
+
2000110454100 = 22325211377437349
BaseRepresentation
bin11101000110101111110…
…111111000010101010100
321002012122010200111111200
4131012233313320111110
5230232211234012400
64130501004232500
7264334413230463
oct35065767702524
97065563614450
102000110454100
11701273232670
12283774b3b730
131167c03c8325
146cb3d4029da
1537062a49b00
hex1d1afdf8554

2000110454100 has 432 divisors, whose sum is σ = 7034418518400. Its totient is φ = 471071462400.

The previous prime is 2000110454021. The next prime is 2000110454143. The reversal of 2000110454100 is 14540110002.

2000110454100 is a `hidden beast` number, since 2 + 0 + 0 + 0 + 110 + 454 + 100 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 272157226 + ... + 272164574.

It is an arithmetic number, because the mean of its divisors is an integer number (16283376200).

Almost surely, 22000110454100 is an apocalyptic number.

2000110454100 is a gapful number since it is divisible by the number (20) 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 2000110454100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3517209259200).

2000110454100 is an abundant number, since it is smaller than the sum of its proper divisors (5034308064300).

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

2000110454100 is a wasteful number, since it uses less digits than its factorization.

2000110454100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8160 (or 8150 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 2000110454100 its reverse (14540110002), we get a palindrome (2014650564102).

The spelling of 2000110454100 in words is "two trillion, one hundred ten million, four hundred fifty-four thousand, one hundred".