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100303122320 = 2451253789029
BaseRepresentation
bin101110101101010001…
…0000010111110010000
3100120220022000112220022
41131122202002332100
53120410044403240
6114024552003012
710150414321022
oct1353242027620
9316808015808
10100303122320
11395a1552415
1217533390468
1395c656176b
144bd7408012
152920b639b5
hex175a882f90

100303122320 has 20 divisors (see below), whose sum is σ = 233204759580. Its totient is φ = 40121248896.

The previous prime is 100303122307. The next prime is 100303122347. The reversal of 100303122320 is 23221303001.

It can be written as a sum of positive squares in 2 ways, for example, as 22624973056 + 77678149264 = 150416^2 + 278708^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 626894435 + ... + 626894594.

It is an arithmetic number, because the mean of its divisors is an integer number (11660237979).

Almost surely, 2100303122320 is an apocalyptic number.

100303122320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100303122320 is an abundant number, since it is smaller than the sum of its proper divisors (132901637260).

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

100303122320 is a wasteful number, since it uses less digits than its factorization.

100303122320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1253789042 (or 1253789036 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 100303122320 its reverse (23221303001), we get a palindrome (123524425321).

The spelling of 100303122320 in words is "one hundred billion, three hundred three million, one hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1253789029 2507578058 5015156116 6268945145 10030312232 12537890290 20060624464 25075780580 50151561160 100303122320