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21332032101 = 34415763353
BaseRepresentation
bin10011110111011111…
…001111101001100101
32001001122222111210000
4103313133033221211
5322142000011401
613444431251513
71353425165262
oct236737175145
961048874700
1021332032101
1190574154a6
124174079b99
13201c649803
141065184269
1584cb87186
hex4f77cfa65

21332032101 has 20 divisors (see below), whose sum is σ = 31874537772. Its totient is φ = 14217709248.

The previous prime is 21332032097. The next prime is 21332032103. The reversal of 21332032101 is 10123023312.

21332032101 is a `hidden beast` number, since 21 + 3 + 320 + 321 + 0 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 14792883876 + 6539148225 = 121626^2 + 80865^2 .

It is not a de Polignac number, because 21332032101 - 22 = 21332032097 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21332032103) 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 19 ways as a sum of consecutive naturals, for example, 305041 + ... + 368393.

Almost surely, 221332032101 is an apocalyptic number.

It is an amenable number.

21332032101 is a deficient number, since it is larger than the sum of its proper divisors (10542505671).

21332032101 is an equidigital number, since it uses as much as digits as its factorization.

21332032101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67522 (or 67513 counting only the distinct ones).

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

Adding to 21332032101 its reverse (10123023312), we get a palindrome (31455055413).

The spelling of 21332032101 in words is "twenty-one billion, three hundred thirty-two million, thirty-two thousand, one hundred one".

Divisors: 1 3 9 27 81 4157 12471 37413 63353 112239 190059 336717 570177 1710531 5131593 263358421 790075263 2370225789 7110677367 21332032101