Search a number
-
+
2103942984000 = 2635311131736061
BaseRepresentation
bin11110100111011100110…
…001100011000101000000
321110010122101220112102020
4132213130301203011000
5233432333400442000
64250312115521440
7305001445201524
oct36473461430500
97403571815366
102103942984000
11741305a68150
1229b9122b9280
13123529c21830
1473b8d461d84
1539add478ba0
hex1e9dcc63140

2103942984000 has 896 divisors, whose sum is σ = 8642112321024. Its totient is φ = 443105280000.

The previous prime is 2103942983981. The next prime is 2103942984019. The reversal of 2103942984000 is 4892493012.

It is an interprime number because it is at equal distance from previous prime (2103942983981) and next prime (2103942984019).

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 58325970 + ... + 58362030.

It is an arithmetic number, because the mean of its divisors is an integer number (9645214644).

Almost surely, 22103942984000 is an apocalyptic number.

2103942984000 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 2103942984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4321056160512).

2103942984000 is an abundant number, since it is smaller than the sum of its proper divisors (6538169337024).

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

2103942984000 is a wasteful number, since it uses less digits than its factorization.

2103942984000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36132 (or 36112 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The spelling of 2103942984000 in words is "two trillion, one hundred three billion, nine hundred forty-two million, nine hundred eighty-four thousand".