Search a number
-
+
20301442400 = 255225376803
BaseRepresentation
bin10010111010000011…
…110110110101100000
31221101211202010111002
4102322003312311200
5313034132124100
613154254211132
71316042261501
oct227203666540
957354663432
1020301442400
1186786a9178
123b26ab3aa8
131bb6c8c115
14da8352ba8
157dc4622d5
hex4ba0f6d60

20301442400 has 36 divisors (see below), whose sum is σ = 49560898212. Its totient is φ = 8120576640.

The previous prime is 20301442367. The next prime is 20301442417. The reversal of 20301442400 is 424410302.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 12687602 + ... + 12689201.

It is an arithmetic number, because the mean of its divisors is an integer number (1376691617).

Almost surely, 220301442400 is an apocalyptic number.

20301442400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20301442400 is an abundant number, since it is smaller than the sum of its proper divisors (29259455812).

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

20301442400 is a wasteful number, since it uses less digits than its factorization.

20301442400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25376823 (or 25376810 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 20301442400 its reverse (424410302), we get a palindrome (20725852702).

The spelling of 20301442400 in words is "twenty billion, three hundred one million, four hundred forty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 25376803 50753606 101507212 126884015 203014424 253768030 406028848 507536060 634420075 812057696 1015072120 1268840150 2030144240 2537680300 4060288480 5075360600 10150721200 20301442400