Search a number
-
+
1020412000000 = 2856713593
BaseRepresentation
bin11101101100101010100…
…10110111011100000000
310121112212021012110111001
432312111102313130000
5113204300433000000
62100434254301344
7133502521614061
oct16662522673400
93545767173431
101020412000000
11363832a76688
12145919ab7854
13752bc126a53
1437561338568
151b82376646a
hexed954b7700

1020412000000 has 252 divisors, whose sum is σ = 2582592879888. Its totient is φ = 402304000000.

The previous prime is 1020411999991. The next prime is 1020412000007. The reversal of 1020412000000 is 2140201.

1020412000000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020412000007) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 283998204 + ... + 284001796.

It is an arithmetic number, because the mean of its divisors is an integer number (10248384444).

Almost surely, 21020412000000 is an apocalyptic number.

1020412000000 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 1020412000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1291296439944).

1020412000000 is an abundant number, since it is smaller than the sum of its proper divisors (1562180879888).

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

1020412000000 is an frugal number, since it uses more digits than its factorization.

1020412000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3710 (or 3671 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 1020412000000 its reverse (2140201), we get a palindrome (1020414140201).

The spelling of 1020412000000 in words is "one trillion, twenty billion, four hundred twelve million", and thus it is an aban number.