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200110001220 = 223258918476763
BaseRepresentation
bin1011101001011101111…
…1000100110001000100
3201010112000021022210200
42322113133010301010
511234311130014340
6231532415450500
720312624642163
oct2722737046104
9633460238720
10200110001220
11779589737a8
1232948526a30
1315b41054c5c
1499849573da
155312e52330
hex2e977c4c44

200110001220 has 144 divisors (see below), whose sum is σ = 614243710080. Its totient is φ = 52726722048.

The previous prime is 200110001173. The next prime is 200110001249. The reversal of 200110001220 is 22100011002.

200110001220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 29585559 + ... + 29592321.

It is an arithmetic number, because the mean of its divisors is an integer number (4265581320).

Almost surely, 2200110001220 is an apocalyptic number.

200110001220 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 200110001220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307121855040).

200110001220 is an abundant number, since it is smaller than the sum of its proper divisors (414133708860).

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

200110001220 is a wasteful number, since it uses less digits than its factorization.

200110001220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8714 (or 8709 counting only the distinct ones).

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

Adding to 200110001220 its reverse (22100011002), we get a palindrome (222210012222).

The spelling of 200110001220 in words is "two hundred billion, one hundred ten million, one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 89 90 178 180 267 356 445 534 801 890 1068 1335 1602 1780 1847 2670 3204 3694 4005 5340 5541 6763 7388 8010 9235 11082 13526 16020 16623 18470 20289 22164 27052 27705 33246 33815 36940 40578 55410 60867 66492 67630 81156 83115 101445 110820 121734 135260 164383 166230 202890 243468 304335 328766 332460 405780 493149 601907 608670 657532 821915 986298 1203814 1217340 1479447 1643830 1805721 1972596 2407628 2465745 2958894 3009535 3287660 3611442 4931490 5417163 5917788 6019070 7222884 7397235 9028605 9862980 10834326 12038140 12491261 14794470 18057210 21668652 24982522 27085815 29588940 36114420 37473783 49965044 54171630 62456305 74947566 108343260 112421349 124912610 149895132 187368915 224842698 249825220 374737830 449685396 562106745 749475660 1111722229 1124213490 2223444458 2248426980 3335166687 4446888916 5558611145 6670333374 10005500061 11117222290 13340666748 16675833435 20011000122 22234444580 33351666870 40022000244 50027500305 66703333740 100055000610 200110001220