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21021102200 = 2352719241593
BaseRepresentation
bin10011100100111101…
…001001000001111000
32000020222220122010202
4103210331021001320
5321022400232300
613353523101332
71342631264150
oct234475110170
960228818122
1021021102200
118a0795623a
1240a7b11848
131ca00c2b17
141035b67760
15830719ad5
hex4e4f49078

21021102200 has 144 divisors (see below), whose sum is σ = 58952008080. Its totient is φ = 6827742720.

The previous prime is 21021102107. The next prime is 21021102209. The reversal of 21021102200 is 220112012.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21021102209) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 484604 + ... + 526196.

It is an arithmetic number, because the mean of its divisors is an integer number (409388945).

Almost surely, 221021102200 is an apocalyptic number.

21021102200 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 21021102200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29476004040).

21021102200 is an abundant number, since it is smaller than the sum of its proper divisors (37930905880).

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

21021102200 is a wasteful number, since it uses less digits than its factorization.

21021102200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41654 (or 41626 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 21021102200 its reverse (220112012), we get a palindrome (21241214212).

The spelling of 21021102200 in words is "twenty-one billion, twenty-one million, one hundred two thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 19 20 25 28 35 38 40 50 56 70 76 95 100 133 140 152 175 190 200 266 280 350 361 380 475 532 665 700 722 760 950 1064 1330 1400 1444 1805 1900 2527 2660 2888 3325 3610 3800 5054 5320 6650 7220 9025 10108 12635 13300 14440 18050 20216 25270 26600 36100 41593 50540 63175 72200 83186 101080 126350 166372 207965 252700 291151 332744 415930 505400 582302 790267 831860 1039825 1164604 1455755 1580534 1663720 2079650 2329208 2911510 3161068 3951335 4159300 5531869 5823020 6322136 7278775 7902670 8318600 11063738 11646040 14557550 15015073 15805340 19756675 22127476 27659345 29115100 30030146 31610680 39513350 44254952 55318690 58230200 60060292 75075365 79026700 105105511 110637380 120120584 138296725 150150730 158053400 210211022 221274760 276593450 300301460 375376825 420422044 525527555 553186900 600602920 750753650 840844088 1051055110 1106373800 1501507300 2102110220 2627637775 3003014600 4204220440 5255275550 10510551100 21021102200