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100311311011 = 4716712780139
BaseRepresentation
bin101110101101100000…
…1010010001010100011
3100120220212102120200011
41131123001102022203
53120414143423021
6114025443305351
710150544034532
oct1353301221243
9316825376604
10100311311011
11395a613572a
121753607b257
1395c816aa42
144bd853a319
15292172ede1
hex175b0522a3

100311311011 has 8 divisors (see below), whose sum is σ = 103059048960. Its totient is φ = 97589133768.

The previous prime is 100311310993. The next prime is 100311311017. The reversal of 100311311011 is 110113113001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100311311011 - 29 = 100311310499 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100311310982 and 100311311000.

It is not an unprimeable number, because it can be changed into a prime (100311311017) 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, 6382221 + ... + 6397918.

It is an arithmetic number, because the mean of its divisors is an integer number (12882381120).

Almost surely, 2100311311011 is an apocalyptic number.

100311311011 is a deficient number, since it is larger than the sum of its proper divisors (2747737949).

100311311011 is a wasteful number, since it uses less digits than its factorization.

100311311011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12780353.

The product of its (nonzero) digits is 9, while the sum is 13.

Adding to 100311311011 its reverse (110113113001), we get a palindrome (210424424012).

The spelling of 100311311011 in words is "one hundred billion, three hundred eleven million, three hundred eleven thousand, eleven".

Divisors: 1 47 167 7849 12780139 600666533 2134283213 100311311011