Search a number
-
+
103141240000 = 265441611031
BaseRepresentation
bin110000000001110110…
…0100110110011000000
3100212020002102212102221
41200003230212303000
53142213124140000
6115214334420424
710310636034421
oct1400354466300
9325202385387
10103141240000
113a8185a5217
1217ba5961714
139959546836
144dc6311648
152a39dcc61a
hex1803b26cc0

103141240000 has 280 divisors, whose sum is σ = 266548002336. Its totient is φ = 39552000000.

The previous prime is 103141239983. The next prime is 103141240021. The reversal of 103141240000 is 42141301.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 100039485 + ... + 100040515.

Almost surely, 2103141240000 is an apocalyptic number.

103141240000 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 103141240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133274001168).

103141240000 is an abundant number, since it is smaller than the sum of its proper divisors (163406762336).

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

103141240000 is an equidigital number, since it uses as much as digits as its factorization.

103141240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1165 (or 1140 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 103141240000 its reverse (42141301), we get a palindrome (103183381301).

It can be divided in two parts, 1031 and 41240000, that multiplied together give a square (42518440000 = 2062002).

The spelling of 103141240000 in words is "one hundred three billion, one hundred forty-one million, two hundred forty thousand".