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13332220101 = 323740036697
BaseRepresentation
bin11000110101010100…
…11000100011000101
31021102010220221202200
430122222120203011
5204301022020401
610042535425113
7651246000234
oct143252304305
937363827680
1013332220101
115721766322
122700b25199
131346171145
14906928b1b
155306c7686
hex31aa988c5

13332220101 has 12 divisors (see below), whose sum is σ = 19778128812. Its totient is φ = 8647926336.

The previous prime is 13332220093. The next prime is 13332220103. The reversal of 13332220101 is 10102223331.

13332220101 is a `hidden beast` number, since 13 + 332 + 220 + 101 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10459152900 + 2873067201 = 102270^2 + 53601^2 .

It is not a de Polignac number, because 13332220101 - 23 = 13332220093 is a prime.

It is a super-3 number, since 3×133322201013 (a number of 31 digits) contains 333 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13332220103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20018016 + ... + 20018681.

It is an arithmetic number, because the mean of its divisors is an integer number (1648177401).

Almost surely, 213332220101 is an apocalyptic number.

It is an amenable number.

13332220101 is a deficient number, since it is larger than the sum of its proper divisors (6445908711).

13332220101 is a wasteful number, since it uses less digits than its factorization.

13332220101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40036740 (or 40036737 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13332220101 its reverse (10102223331), we get a palindrome (23434443432).

The spelling of 13332220101 in words is "thirteen billion, three hundred thirty-two million, two hundred twenty thousand, one hundred one".

Divisors: 1 3 9 37 111 333 40036697 120110091 360330273 1481357789 4444073367 13332220101