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103230822240 = 253257131276203
BaseRepresentation
bin110000000100100001…
…0010101011101100000
3100212110100000010011200
41200021002111131200
53142404042302430
6115231254441200
710313104340220
oct1401102253540
9325410003150
10103230822240
113a864120727
121800b963200
139971c80590
144dd4190080
152a42bc5460
hex1809095760

103230822240 has 576 divisors, whose sum is σ = 437053833216. Its totient is φ = 21605584896.

The previous prime is 103230822217. The next prime is 103230822263. The reversal of 103230822240 is 42228032301.

It is an interprime number because it is at equal distance from previous prime (103230822217) and next prime (103230822263).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16638979 + ... + 16645181.

It is an arithmetic number, because the mean of its divisors is an integer number (758774016).

Almost surely, 2103230822240 is an apocalyptic number.

103230822240 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 103230822240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218526916608).

103230822240 is an abundant number, since it is smaller than the sum of its proper divisors (333823010976).

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

103230822240 is a wasteful number, since it uses less digits than its factorization.

103230822240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6371 (or 6360 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 103230822240 its reverse (42228032301), we get a palindrome (145458854541).

The spelling of 103230822240 in words is "one hundred three billion, two hundred thirty million, eight hundred twenty-two thousand, two hundred forty".