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103300332320 = 255883973043
BaseRepresentation
bin110000000110100101…
…1011111101100100000
3100212122011210121002002
41200031023133230200
53143024341113240
6115242220343132
710314610223423
oct1401513375440
9325564717062
10103300332320
113a89a387679
121802b0a4aa8
1399834aa0c3
144ddd4c59ba
152a48d55d15
hex180d2dfb20

103300332320 has 48 divisors (see below), whose sum is σ = 244077986880. Its totient is φ = 41314892544.

The previous prime is 103300332307. The next prime is 103300332323. The reversal of 103300332320 is 23233003301.

103300332320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 103300332292 and 103300332301.

It is not an unprimeable number, because it can be changed into a prime (103300332323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1377719 + ... + 1450761.

It is an arithmetic number, because the mean of its divisors is an integer number (5084958060).

Almost surely, 2103300332320 is an apocalyptic number.

103300332320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103300332320 is an abundant number, since it is smaller than the sum of its proper divisors (140777654560).

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

103300332320 is an equidigital number, since it uses as much as digits as its factorization.

103300332320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81897 (or 81889 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 20.

Adding to 103300332320 its reverse (23233003301), we get a palindrome (126533335621).

The spelling of 103300332320 in words is "one hundred three billion, three hundred million, three hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 8839 17678 35356 44195 70712 73043 88390 141424 146086 176780 282848 292172 353560 365215 584344 707120 730430 1168688 1414240 1460860 2337376 2921720 5843440 11686880 645627077 1291254154 2582508308 3228135385 5165016616 6456270770 10330033232 12912541540 20660066464 25825083080 51650166160 103300332320