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21100002 = 23711109419
BaseRepresentation
bin101000001111…
…1010111100010
31110200222202120
41100133113202
520400200002
62032125110
7344230020
oct120372742
943628676
1021100002
1110a01820
127096796
1344aa011
142b33710
151cbbcbc
hex141f5e2

21100002 has 64 divisors (see below), whose sum is σ = 53222400. Its totient is φ = 5417280.

The previous prime is 21099977. The next prime is 21100003. The reversal of 21100002 is 20000112.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is not an unprimeable number, because it can be changed into a prime (21100003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50149 + ... + 50567.

It is an arithmetic number, because the mean of its divisors is an integer number (831600).

Almost surely, 221100002 is an apocalyptic number.

21100002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 21100002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26611200).

21100002 is an abundant number, since it is smaller than the sum of its proper divisors (32122398).

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

21100002 is a wasteful number, since it uses less digits than its factorization.

21100002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551.

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 21100002 is about 4593.4738488425. The cubic root of 21100002 is about 276.3296575563.

Adding to 21100002 its reverse (20000112), we get a palindrome (41100114).

The spelling of 21100002 in words is "twenty-one million, one hundred thousand, two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 109 154 218 231 327 419 462 654 763 838 1199 1257 1526 2289 2398 2514 2933 3597 4578 4609 5866 7194 8393 8799 9218 13827 16786 17598 25179 27654 32263 45671 50358 64526 91342 96789 137013 193578 274026 319697 502381 639394 959091 1004762 1507143 1918182 3014286 3516667 7033334 10550001 21100002