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21165503106 = 231113113071873
BaseRepresentation
bin10011101101100011…
…111111001010000010
32000122001121221221110
4103231203333022002
5321321332044411
613420122104150
71346333544066
oct235543771202
960561557843
1021165503106
118a81413830
12412834b056
131cc3cb1347
14104add5aa6
1583d2402a6
hex4ed8ff282

21165503106 has 64 divisors (see below), whose sum is σ = 46592257536. Its totient is φ = 6356563200.

The previous prime is 21165503071. The next prime is 21165503113. The reversal of 21165503106 is 60130556112.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11299386 + ... + 11301258.

It is an arithmetic number, because the mean of its divisors is an integer number (728004024).

Almost surely, 221165503106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21165503106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23296128768).

21165503106 is an abundant number, since it is smaller than the sum of its proper divisors (25426754430).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21165503106 is a wasteful number, since it uses less digits than its factorization.

21165503106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3327.

The product of its (nonzero) digits is 5400, while the sum is 30.

The spelling of 21165503106 in words is "twenty-one billion, one hundred sixty-five million, five hundred three thousand, one hundred six".

Divisors: 1 2 3 6 11 22 33 66 131 262 393 786 1307 1441 1873 2614 2882 3746 3921 4323 5619 7842 8646 11238 14377 20603 28754 41206 43131 61809 86262 123618 171217 245363 342434 490726 513651 736089 1027302 1472178 1883387 2448011 2698993 3766774 4896022 5397986 5650161 7344033 8096979 11300322 14688066 16193958 26928121 53856242 80784363 161568726 320689441 641378882 962068323 1924136646 3527583851 7055167702 10582751553 21165503106