Search a number
-
+
103301022330 = 23351141863983
BaseRepresentation
bin110000000110100111…
…0001000001001111010
3100212122020002122121000
41200031032020021322
53143030030203310
6115242243225430
710314616126212
oct1401516101172
9325566078530
10103301022330
113a89a809030
121802b378276
13998368c1ac
144ddd625242
152a48e404c0
hex180d38827a

103301022330 has 256 divisors, whose sum is σ = 308511866880. Its totient is φ = 24378739200.

The previous prime is 103301022317. The next prime is 103301022353. The reversal of 103301022330 is 33220103301.

103301022330 is a `hidden beast` number, since 1 + 0 + 330 + 1 + 0 + 2 + 2 + 330 = 666.

It is a super-2 number, since 2×1033010223302 (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 105087019 + ... + 105088001.

It is an arithmetic number, because the mean of its divisors is an integer number (1205124480).

Almost surely, 2103301022330 is an apocalyptic number.

103301022330 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 103301022330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154255933440).

103301022330 is an abundant number, since it is smaller than the sum of its proper divisors (205210844550).

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

103301022330 is a wasteful number, since it uses less digits than its factorization.

103301022330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1914 (or 1908 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 103301022330 its reverse (33220103301), we get a palindrome (136521125631).

The spelling of 103301022330 in words is "one hundred three billion, three hundred one million, twenty-two thousand, three hundred thirty".