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212004011040 = 25355341919889
BaseRepresentation
bin1100010101110001101…
…1000111110000100000
3202021012220221121221220
43011130123013300200
511433141011323130
6241220541415040
721213441234513
oct3053433076040
9667186847856
10212004011040
1181a01812388
123510786a480
1316cb82595a3
14a392464d7a
1557ac238410
hex315c6c7c20

212004011040 has 192 divisors, whose sum is σ = 682071062400. Its totient is φ = 55332552704.

The previous prime is 212004011039. The next prime is 212004011041. The reversal of 212004011040 is 40110400212.

It is an interprime number because it is at equal distance from previous prime (212004011039) and next prime (212004011041).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (212004011041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10649416 + ... + 10669304.

It is an arithmetic number, because the mean of its divisors is an integer number (3552453450).

Almost surely, 2212004011040 is an apocalyptic number.

212004011040 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 212004011040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341035531200).

212004011040 is an abundant number, since it is smaller than the sum of its proper divisors (470067051360).

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

212004011040 is a wasteful number, since it uses less digits than its factorization.

212004011040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20379 (or 20371 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 212004011040 its reverse (40110400212), we get a palindrome (252114411252).

It can be divided in two parts, 2120040 and 11040, that added together give a triangular number (2131080 = T2064).

The spelling of 212004011040 in words is "two hundred twelve billion, four million, eleven thousand, forty".