Search a number
-
+
2100844000080 = 24355715438301
BaseRepresentation
bin11110100100100100000…
…011110111001101010000
321102211122102121211200000
4132210210003313031100
5233410012031000310
64245040413530000
7304531605235140
oct36444403671520
97384572554600
102100844000080
1173aa6573a711
1229b1a84a3900
13123154b91137
1473977a50920
15399ab3814c0
hex1e9240f7350

2100844000080 has 240 divisors, whose sum is σ = 8361878388864. Its totient is φ = 480192883200.

The previous prime is 2100844000043. The next prime is 2100844000117. The reversal of 2100844000080 is 800004480012.

2100844000080 is a `hidden beast` number, since 2 + 100 + 84 + 400 + 0 + 0 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (2100844000043) and next prime (2100844000117).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 47 ways as a sum of consecutive naturals, for example, 7583071 + ... + 7855230.

Almost surely, 22100844000080 is an apocalyptic number.

2100844000080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2100844000080 is an abundant number, since it is smaller than the sum of its proper divisors (6261034388784).

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

2100844000080 is a wasteful number, since it uses less digits than its factorization.

2100844000080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15438336 (or 15438318 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

Adding to 2100844000080 its reverse (800004480012), we get a palindrome (2900848480092).

The spelling of 2100844000080 in words is "two trillion, one hundred billion, eight hundred forty-four million, eighty", and thus it is an aban number.