Search a number
-
+
103420800000 = 2103555719
BaseRepresentation
bin110000001010001011…
…1000010110000000000
3100212221120110222200000
41200110113002300000
53143301211100000
6115302202400000
710320602203230
oct1402427026000
9325846428600
10103420800000
113a951388841
1218063500000
1399a2438b5b
1450114c3cc0
152a54700000
hex18145c2c00

103420800000 has 1584 divisors, whose sum is σ = 465662695680. Its totient is φ = 22394880000.

The previous prime is 103420799957. The next prime is 103420800013. The reversal of 103420800000 is 8024301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5443199991 + ... + 5443200009.

Almost surely, 2103420800000 is an apocalyptic number.

103420800000 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 103420800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232831347840).

103420800000 is an abundant number, since it is smaller than the sum of its proper divisors (362241895680).

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

103420800000 is an frugal number, since it uses more digits than its factorization.

103420800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 103420800000 its reverse (8024301), we get a palindrome (103428824301).

The spelling of 103420800000 in words is "one hundred three billion, four hundred twenty million, eight hundred thousand".