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21222300300000 = 2535570741001
BaseRepresentation
bin1001101001101001100111…
…01010111011001011100000
32210010211110121010020021020
410310310303222323023200
510240201232334100000
6113045220135325440
74320155246112552
oct464646352731340
983124417106236
1021222300300000
116842366289628
122469035520880
13bac33c9c4c17
145352443774d2
1526c09271cba0
hex134d33abb2e0

21222300300000 has 144 divisors (see below), whose sum is σ = 69631217160624. Its totient is φ = 5659280000000.

The previous prime is 21222300299999. The next prime is 21222300300001. The reversal of 21222300300000 is 300322212.

21222300300000 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (21222300299999) and next prime (21222300300001).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21222300300001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35070501 + ... + 35670500.

It is an arithmetic number, because the mean of its divisors is an integer number (483550119171).

Almost surely, 221222300300000 is an apocalyptic number.

21222300300000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21222300300000 is an abundant number, since it is smaller than the sum of its proper divisors (48408916860624).

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

21222300300000 is an frugal number, since it uses more digits than its factorization.

21222300300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70741039 (or 70741011 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 21222300300000 its reverse (300322212), we get a palindrome (21222600622212).

The spelling of 21222300300000 in words is "twenty-one trillion, two hundred twenty-two billion, three hundred million, three hundred thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 625 750 800 1000 1200 1250 1500 1875 2000 2400 2500 3000 3125 3750 4000 5000 6000 6250 7500 9375 10000 12000 12500 15000 18750 20000 25000 30000 37500 50000 60000 75000 100000 150000 300000 70741001 141482002 212223003 282964004 353705005 424446006 565928008 707410010 848892012 1061115015 1131856016 1414820020 1697784024 1768525025 2122230030 2263712032 2829640040 3395568048 3537050050 4244460060 5305575075 5659280080 6791136096 7074100100 8488920120 8842625125 10611150150 11318560160 14148200200 16977840240 17685250250 21222300300 26527875375 28296400400 33955680480 35370500500 42444600600 44213125625 53055750750 56592800800 70741001000 84889201200 88426251250 106111501500 132639376875 141482002000 169778402400 176852502500 212223003000 221065628125 265278753750 282964004000 353705005000 424446006000 442131256250 530557507500 663196884375 707410010000 848892012000 884262512500 1061115015000 1326393768750 1414820020000 1768525025000 2122230030000 2652787537500 3537050050000 4244460060000 5305575075000 7074100100000 10611150150000 21222300300000