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100024310011 = 19336434003
BaseRepresentation
bin101110100100111101…
…0011101100011111011
3100120011212101102022111
41131021322131203323
53114322210410021
6113541152033151
710140460415113
oct1351172354373
9316155342274
10100024310011
113946912a61a
1217475b327b7
139580871872
144bac38c043
15290643c8e1
hex1749e9d8fb

100024310011 has 16 divisors (see below), whose sum is σ = 105635770240. Its totient is φ = 94710195432.

The previous prime is 100024309969. The next prime is 100024310021. The reversal of 100024310011 is 110013420001.

It is not a de Polignac number, because 100024310011 - 217 = 100024178939 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100024309973 and 100024310000.

It is not an unprimeable number, because it can be changed into a prime (100024310021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24985336 + ... + 24989338.

It is an arithmetic number, because the mean of its divisors is an integer number (6602235640).

Almost surely, 2100024310011 is an apocalyptic number.

100024310011 is a deficient number, since it is larger than the sum of its proper divisors (5611460229).

100024310011 is an frugal number, since it uses more digits than its factorization.

100024310011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7703 (or 7665 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 100024310011 its reverse (110013420001), we get a palindrome (210037730012).

The spelling of 100024310011 in words is "one hundred billion, twenty-four million, three hundred ten thousand, eleven".

Divisors: 1 19 361 3643 4003 6859 69217 76057 1315123 1445083 14582929 24987337 27456577 277075651 5264437369 100024310011