Search a number
-
+
1012424210304 = 273131768317467
BaseRepresentation
bin11101011101110010010…
…11110111011110000000
310120210020120202200222020
432232321023313132000
5113041421044212204
62053033512241440
7133100546540343
oct16567113673600
93523216680866
101012424210304
11360404088aa1
1214426a9a0280
137461829a580
143700452c45a
151b50737dbd9
hexebb92f7780

1012424210304 has 256 divisors, whose sum is σ = 3071142708480. Its totient is φ = 292744691712.

The previous prime is 1012424210297. The next prime is 1012424210339. The reversal of 1012424210304 is 4030124242101.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57953379 + ... + 57970845.

It is an arithmetic number, because the mean of its divisors is an integer number (11996651205).

Almost surely, 21012424210304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1012424210304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1535571354240).

1012424210304 is an abundant number, since it is smaller than the sum of its proper divisors (2058718498176).

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

1012424210304 is a wasteful number, since it uses less digits than its factorization.

1012424210304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18197 (or 18185 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 1012424210304 its reverse (4030124242101), we get a palindrome (5042548452405).

The spelling of 1012424210304 in words is "one trillion, twelve billion, four hundred twenty-four million, two hundred ten thousand, three hundred four".