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11200010220 = 22325763114087
BaseRepresentation
bin10100110111001001…
…01001011111101100
31001220112210110200100
422123210221133230
5140414200311340
65051211031100
7544355342010
oct123344513754
931815713610
1011200010220
1148281284a3
122206a3b490
1310964b64a9
14783696540
154583eb830
hex29b9297ec

11200010220 has 144 divisors (see below), whose sum is σ = 38890994688. Its totient is φ = 2555763840.

The previous prime is 11200010219. The next prime is 11200010299. The reversal of 11200010220 is 2201000211.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

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, 788017 + ... + 802103.

It is an arithmetic number, because the mean of its divisors is an integer number (270076352).

Almost surely, 211200010220 is an apocalyptic number.

11200010220 is a gapful number since it is divisible by the number (10) 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 11200010220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19445497344).

11200010220 is an abundant number, since it is smaller than the sum of its proper divisors (27690984468).

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

11200010220 is a wasteful number, since it uses less digits than its factorization.

11200010220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14740 (or 14735 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 11200010220 its reverse (2201000211), we get a palindrome (13401010431).

The spelling of 11200010220 in words is "eleven billion, two hundred million, ten thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 631 1260 1262 1893 2524 3155 3786 4417 5679 6310 7572 8834 9465 11358 12620 13251 14087 17668 18930 22085 22716 26502 28174 28395 37860 39753 42261 44170 53004 56348 56790 66255 70435 79506 84522 88340 98609 113580 126783 132510 140870 159012 169044 197218 198765 211305 253566 265020 281740 295827 394436 397530 422610 493045 507132 591654 633915 795060 845220 887481 986090 1183308 1267830 1479135 1774962 1972180 2535660 2958270 3549924 4437405 5916540 8874810 8888897 17749620 17777794 26666691 35555588 44444485 53333382 62222279 80000073 88888970 106666764 124444558 133333455 160000146 177777940 186666837 248889116 266666910 311111395 320000292 373333674 400000365 533333820 560000511 622222790 746667348 800000730 933334185 1120001022 1244445580 1600001460 1866668370 2240002044 2800002555 3733336740 5600005110 11200010220