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100320024321 = 32111013333579
BaseRepresentation
bin101110101101110001…
…0100001011100000001
3100120221110211021002100
41131123202201130001
53120423411234241
6114030354141013
710151011065006
oct1353342413401
9316843737070
10100320024321
1139600047110
1217538b81769
1395c9bcba4a
144bd97678ad
1529223a19b6
hex175b8a1701

100320024321 has 12 divisors (see below), whose sum is σ = 158080038480. Its totient is φ = 60800014680.

The previous prime is 100320024289. The next prime is 100320024323. The reversal of 100320024321 is 123420023001.

100320024321 is a `hidden beast` number, since 1 + 0 + 0 + 320 + 0 + 24 + 321 = 666.

It is not a de Polignac number, because 100320024321 - 25 = 100320024289 is a prime.

It is a super-2 number, since 2×1003200243212 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100320024294 and 100320024303.

It is not an unprimeable number, because it can be changed into a prime (100320024323) 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 11 ways as a sum of consecutive naturals, for example, 506666691 + ... + 506666888.

It is an arithmetic number, because the mean of its divisors is an integer number (13173336540).

Almost surely, 2100320024321 is an apocalyptic number.

100320024321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100320024321 is a deficient number, since it is larger than the sum of its proper divisors (57760014159).

100320024321 is a wasteful number, since it uses less digits than its factorization.

100320024321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1013333596 (or 1013333593 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 100320024321 its reverse (123420023001), we get a palindrome (223740047322).

The spelling of 100320024321 in words is "one hundred billion, three hundred twenty million, twenty-four thousand, three hundred twenty-one".

Divisors: 1 3 9 11 33 99 1013333579 3040000737 9120002211 11146669369 33440008107 100320024321