Search a number
-
+
1012020300000 = 2532553730391
BaseRepresentation
bin11101011101000010001…
…11000100100011100000
310120202012102201221012100
432232201013010203200
5113040104144100000
62052525443130400
7133054543421313
oct16564107044340
93522172657170
101012020300000
11360217092226
12144177673a00
13745826ba1a8
1436da6a2a97a
151b4d1b96a00
hexeba11c48e0

1012020300000 has 432 divisors, whose sum is σ = 3694528472544. Its totient is φ = 262569600000.

The previous prime is 1012020299923. The next prime is 1012020300001. The reversal of 1012020300000 is 30202101.

It is a happy number.

It is a super-2 number, since 2×10120203000002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012020300001) 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 71 ways as a sum of consecutive naturals, for example, 33284805 + ... + 33315195.

It is an arithmetic number, because the mean of its divisors is an integer number (8552149242).

Almost surely, 21012020300000 is an apocalyptic number.

1012020300000 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 1012020300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1847264236272).

1012020300000 is an abundant number, since it is smaller than the sum of its proper divisors (2682508172544).

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

1012020300000 is an equidigital number, since it uses as much as digits as its factorization.

1012020300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30469 (or 30438 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 1012020300000 its reverse (30202101), we get a palindrome (1012050502101).

The spelling of 1012020300000 in words is "one trillion, twelve billion, twenty million, three hundred thousand".