Search a number
-
+
1021843200000 = 21135577603
BaseRepresentation
bin11101101111010101001…
…10011101100000000000
310121200120000020221210110
432313222212131200000
5113220213324400000
62101232302031320
7133553140613610
oct16675246354000
93550500227713
101021843200000
113643a79353a7
12146059278540
13754897aa75c
143765944ca40
151b8a9220850
hexedea99d800

1021843200000 has 576 divisors, whose sum is σ = 3892048392960. Its totient is φ = 233533440000.

The previous prime is 1021843199999. The next prime is 1021843200041. The reversal of 1021843200000 is 23481201.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 1021843200000.

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, 134396199 + ... + 134403801.

It is an arithmetic number, because the mean of its divisors is an integer number (6757028460).

Almost surely, 21021843200000 is an apocalyptic number.

1021843200000 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 1021843200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1946024196480).

1021843200000 is an abundant number, since it is smaller than the sum of its proper divisors (2870205192960).

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

1021843200000 is an frugal number, since it uses more digits than its factorization.

1021843200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7660 (or 7620 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 1021843200000 its reverse (23481201), we get a palindrome (1021866681201).

The spelling of 1021843200000 in words is "one trillion, twenty-one billion, eight hundred forty-three million, two hundred thousand".