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21230111100 = 223521118233529
BaseRepresentation
bin10011110001011010…
…011100100101111100
32000210120012101110010
4103301122130211330
5321434402023400
613430350543220
71351046652432
oct236132344574
960716171403
1021230111100
119004931770
124145b07b10
1320044b2823
141055812d52
15843c53450
hex4f169c97c

21230111100 has 144 divisors (see below), whose sum is σ = 67065707520. Its totient is φ = 5142412800.

The previous prime is 21230111099. The next prime is 21230111101. The reversal of 21230111100 is 111103212.

It is an interprime number because it is at equal distance from previous prime (21230111099) and next prime (21230111101).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21230111101) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 6014136 + ... + 6017664.

It is an arithmetic number, because the mean of its divisors is an integer number (465734080).

Almost surely, 221230111100 is an apocalyptic number.

21230111100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21230111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33532853760).

21230111100 is an abundant number, since it is smaller than the sum of its proper divisors (45835596420).

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

21230111100 is a wasteful number, since it uses less digits than its factorization.

21230111100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5380 (or 5373 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 21230111100 its reverse (111103212), we get a palindrome (21341214312).

The spelling of 21230111100 in words is "twenty-one billion, two hundred thirty million, one hundred eleven thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 1823 3300 3529 3646 5469 7058 7292 9115 10587 10938 14116 17645 18230 20053 21174 21876 27345 35290 36460 38819 40106 42348 45575 52935 54690 60159 70580 77638 80212 88225 91150 100265 105870 109380 116457 120318 136725 155276 176450 182300 194095 200530 211740 232914 240636 264675 273450 300795 352900 388190 401060 465828 501325 529350 546900 582285 601590 776380 970475 1002650 1058700 1164570 1203180 1503975 1940950 2005300 2329140 2911425 3007950 3881900 5822850 6015900 6433367 11645700 12866734 19300101 25733468 32166835 38600202 64333670 70767037 77200404 96500505 128667340 141534074 160834175 193001010 212301111 283068148 321668350 353835185 386002020 424602222 482502525 643336700 707670370 849204444 965005050 1061505555 1415340740 1769175925 1930010100 2123011110 3538351850 4246022220 5307527775 7076703700 10615055550 21230111100