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21113224002 = 23213319073209
BaseRepresentation
bin10011101010011100…
…100011101101000010
32000111102020220111100
4103222130203231002
5321214441132002
613411013355230
71345130304633
oct235234435502
960442226440
1021113224002
118a54956762
124112938b16
131cb6208770
1410440a788a
1583886511c
hex4ea723b42

21113224002 has 96 divisors (see below), whose sum is σ = 50925288960. Its totient is φ = 6277927680.

The previous prime is 21113223983. The next prime is 21113224007. The reversal of 21113224002 is 20042231112.

It is a happy number.

It is a super-3 number, since 3×211132240023 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (21113224007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6577774 + ... + 6580982.

It is an arithmetic number, because the mean of its divisors is an integer number (530471760).

Almost surely, 221113224002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21113224002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25462644480).

21113224002 is an abundant number, since it is smaller than the sum of its proper divisors (29812064958).

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

21113224002 is a wasteful number, since it uses less digits than its factorization.

21113224002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4168 (or 4165 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 21113224002 its reverse (20042231112), we get a palindrome (41155455114).

The spelling of 21113224002 in words is "twenty-one billion, one hundred thirteen million, two hundred twenty-four thousand, two".

Divisors: 1 2 3 6 9 13 18 26 31 39 62 78 93 117 186 234 279 403 558 806 907 1209 1814 2418 2721 3209 3627 5442 6418 7254 8163 9627 11791 16326 19254 23582 28117 28881 35373 41717 56234 57762 70746 83434 84351 99479 106119 125151 168702 198958 212238 250302 253053 298437 365521 375453 506106 596874 731042 750906 895311 1096563 1293227 1790622 2193126 2586454 2910563 3289689 3879681 5821126 6579378 7759362 8731689 11639043 17463378 23278086 26195067 37837319 52390134 75674638 90227453 113511957 180454906 227023914 270682359 340535871 541364718 681071742 812047077 1172956889 1624094154 2345913778 3518870667 7037741334 10556612001 21113224002