Search a number
-
+
10443413130150 = 235271113127547663
BaseRepresentation
bin1001011111111000101111…
…1011100000101110100110
31100222101021102021010200110
42113332023323200232212
52332101102230131100
634113345431153450
72125340340641010
oct227761373405646
940871242233613
1010443413130150
1133670324a8680
121208005b15886
135a9a6a9bb450
1428166ccc71b0
151319cccc1250
hex97f8bee0ba6

10443413130150 has 384 divisors, whose sum is σ = 35048252768256. Its totient is φ = 1987355865600.

The previous prime is 10443413130149. The next prime is 10443413130169. The reversal of 10443413130150 is 5103131434401.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 18795219 + ... + 19342881.

It is an arithmetic number, because the mean of its divisors is an integer number (91271491584).

Almost surely, 210443413130150 is an apocalyptic number.

10443413130150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10443413130150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17524126384128).

10443413130150 is an abundant number, since it is smaller than the sum of its proper divisors (24604839638106).

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

10443413130150 is a wasteful number, since it uses less digits than its factorization.

10443413130150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547836 (or 547831 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

Adding to 10443413130150 its reverse (5103131434401), we get a palindrome (15546544564551).

The spelling of 10443413130150 in words is "ten trillion, four hundred forty-three billion, four hundred thirteen million, one hundred thirty thousand, one hundred fifty".