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2100304000000 = 21056149881
BaseRepresentation
bin11110100100000011110…
…111111011010000000000
321102210020210111222211001
4132210003313323100000
5233402410311000000
64244511043501344
7304512330302653
oct36440367732000
97383223458731
102100304000000
1173a808942658
1229b077687854
1312309a04246b
147392604589a
1539978c6646a
hex1e903dfb400

2100304000000 has 308 divisors, whose sum is σ = 5289348311100. Its totient is φ = 833536000000.

The previous prime is 2100303999973. The next prime is 2100304000019. The reversal of 2100304000000 is 4030012.

It can be written as a sum of positive squares in 14 ways, for example, as 976839675904 + 1123464324096 = 988352^2 + 1059936^2 .

It is a super-2 number, since 2×21003040000002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

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 27 ways as a sum of consecutive naturals, for example, 2383999560 + ... + 2384000440.

Almost surely, 22100304000000 is an apocalyptic number.

2100304000000 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 2100304000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2644674155550).

2100304000000 is an abundant number, since it is smaller than the sum of its proper divisors (3189044311100).

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

2100304000000 is an frugal number, since it uses more digits than its factorization.

2100304000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1080 (or 1037 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

Adding to 2100304000000 its reverse (4030012), we get a palindrome (2100308030012).

The spelling of 2100304000000 in words is "two trillion, one hundred billion, three hundred four million", and thus it is an aban number.