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21332163105 = 3351114365093
BaseRepresentation
bin10011110111011111…
…101111101000100001
32001001200020011111000
4103313133233220201
5322142013204410
613444434142213
71353426252231
oct236737575041
961050204430
1021332163105
1190574a4970
124174121969
13201c694326
1410651b9cc1
1584cbb0dc0
hex4f77efa21

21332163105 has 32 divisors (see below), whose sum is σ = 41371470720. Its totient is φ = 10342866240.

The previous prime is 21332163103. The next prime is 21332163107. The reversal of 21332163105 is 50136123312.

21332163105 is a `hidden beast` number, since 2 + 1 + 3 + 3 + 21 + 631 + 0 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (21332163103) and next prime (21332163107).

It is not a de Polignac number, because 21332163105 - 21 = 21332163103 is a prime.

It is a super-2 number, since 2×213321631052 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (21332163103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7181062 + ... + 7184031.

It is an arithmetic number, because the mean of its divisors is an integer number (1292858460).

Almost surely, 221332163105 is an apocalyptic number.

It is an amenable number.

21332163105 is a deficient number, since it is larger than the sum of its proper divisors (20039307615).

21332163105 is a wasteful number, since it uses less digits than its factorization.

21332163105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14365118 (or 14365112 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

Adding to 21332163105 its reverse (50136123312), we get a palindrome (71468286417).

The spelling of 21332163105 in words is "twenty-one billion, three hundred thirty-two million, one hundred sixty-three thousand, one hundred five".

Divisors: 1 3 5 9 11 15 27 33 45 55 99 135 165 297 495 1485 14365093 43095279 71825465 129285837 158016023 215476395 387857511 474048069 646429185 790080115 1422144207 1939287555 2370240345 4266432621 7110721035 21332163105