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21020222002200 = 23352191843879123
BaseRepresentation
bin1001100011110001001101…
…10111011001010000011000
32202102111212102011002011020
410301320212313121100120
510223343403313032300
6112412320124202440
74266442460660361
oct461704667312030
982374772132136
1021020222002200
116774698362543
122435a39999420
13b96276c46045
14529554258b68
15266bb6abb8a0
hex131e26dd9418

21020222002200 has 96 divisors (see below), whose sum is σ = 68592303412800. Its totient is φ = 5310371871360.

The previous prime is 21020222002193. The next prime is 21020222002207. The reversal of 21020222002200 is 220022202012.

It is an interprime number because it is at equal distance from previous prime (21020222002193) and next prime (21020222002207).

It is a super-3 number, since 3×210202220022003 (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 21020222002200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21020222002207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 921928162 + ... + 921950961.

It is an arithmetic number, because the mean of its divisors is an integer number (714503160550).

Almost surely, 221020222002200 is an apocalyptic number.

21020222002200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21020222002200 is an abundant number, since it is smaller than the sum of its proper divisors (47572081410600).

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

21020222002200 is a wasteful number, since it uses less digits than its factorization.

21020222002200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1843879161 (or 1843879152 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 21020222002200 its reverse (220022202012), we get a palindrome (21240244204212).

The spelling of 21020222002200 in words is "twenty-one trillion, twenty billion, two hundred twenty-two million, two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 25 30 38 40 50 57 60 75 76 95 100 114 120 150 152 190 200 228 285 300 380 456 475 570 600 760 950 1140 1425 1900 2280 2850 3800 5700 11400 1843879123 3687758246 5531637369 7375516492 9219395615 11063274738 14751032984 18438791230 22126549476 27658186845 35033703337 36877582460 44253098952 46096978075 55316373690 70067406674 73755164920 92193956150 105101110011 110632747380 138290934225 140134813348 175168516685 184387912300 210202220022 221265494760 276581868450 280269626696 350337033370 368775824600 420404440044 525505550055 553163736900 700674066740 840808880088 875842583425 1051011100110 1106327473800 1401348133480 1751685166850 2102022200220 2627527750275 3503370333700 4204044400440 5255055500550 7006740667400 10510111001100 21020222002200