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101113333321 = 71113101012321
BaseRepresentation
bin101111000101011010…
…0110000011001001001
3100122222202120112110011
41132022310300121021
53124040003131241
6114241213351521
710206453103150
oct1361264603111
9318882515404
10101113333321
1139977927990
121771a7985a1
1396c537b260
144c72c70597
15296bd56281
hex178ad30649

101113333321 has 16 divisors (see below), whose sum is σ = 135760560768. Its totient is φ = 72728870400.

The previous prime is 101113333313. The next prime is 101113333331. The reversal of 101113333321 is 123333311101.

It is a cyclic number.

It is not a de Polignac number, because 101113333321 - 23 = 101113333313 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101113333292 and 101113333301.

It is not an unprimeable number, because it can be changed into a prime (101113333331) 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 15 ways as a sum of consecutive naturals, for example, 50505160 + ... + 50507161.

It is an arithmetic number, because the mean of its divisors is an integer number (8485035048).

Almost surely, 2101113333321 is an apocalyptic number.

101113333321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101113333321 is a deficient number, since it is larger than the sum of its proper divisors (34647227447).

101113333321 is a wasteful number, since it uses less digits than its factorization.

101113333321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101012352.

The product of its (nonzero) digits is 486, while the sum is 22.

Adding to 101113333321 its reverse (123333311101), we get a palindrome (224446644422).

It can be divided in two parts, 101113 and 333321, that added together give a palindrome (434434).

The spelling of 101113333321 in words is "one hundred one billion, one hundred thirteen million, three hundred thirty-three thousand, three hundred twenty-one".

Divisors: 1 7 11 13 77 91 143 1001 101012321 707086247 1111135531 1313160173 7777948717 9192121211 14444761903 101113333321