Search a number
-
+
201011222000 = 2453195998831
BaseRepresentation
bin1011101100110100110…
…0111101010111110000
3201012211211002002022002
42323031030331113300
511243132333101000
6232202052033132
720344150124051
oct2731514752760
9635754062262
10201011222000
117828065a266
1232b5a3027a8
1315c559881a4
149a2c510728
1553671208d5
hex2ecd33d5f0

201011222000 has 160 divisors (see below), whose sum is σ = 512538624000. Its totient is φ = 76036896000.

The previous prime is 201011221991. The next prime is 201011222023. The reversal of 201011222000 is 222110102.

It is a happy number.

It is a super-2 number, since 2×2010112220002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22757585 + ... + 22766415.

It is an arithmetic number, because the mean of its divisors is an integer number (3203366400).

Almost surely, 2201011222000 is an apocalyptic number.

201011222000 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 201011222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256269312000).

201011222000 is an abundant number, since it is smaller than the sum of its proper divisors (311527402000).

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

201011222000 is a wasteful number, since it uses less digits than its factorization.

201011222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9472 (or 9456 counting only the distinct ones).

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

Adding to 201011222000 its reverse (222110102), we get a palindrome (201233332102).

The spelling of 201011222000 in words is "two hundred one billion, eleven million, two hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 125 152 190 200 250 304 380 400 475 500 599 760 950 1000 1198 1520 1900 2000 2375 2396 2995 3800 4750 4792 5990 7600 8831 9500 9584 11381 11980 14975 17662 19000 22762 23960 29950 35324 38000 44155 45524 47920 56905 59900 70648 74875 88310 91048 113810 119800 141296 149750 167789 176620 182096 220775 227620 239600 284525 299500 335578 353240 441550 455240 569050 599000 671156 706480 838945 883100 910480 1103875 1138100 1198000 1342312 1422625 1677890 1766200 2207750 2276200 2684624 2845250 3355780 3532400 4194725 4415500 4552400 5289769 5690500 6711560 8389450 8831000 10579538 11381000 13423120 16778900 17662000 20973625 21159076 22762000 26448845 33557800 41947250 42318152 52897690 67115600 83894500 84636304 100505611 105795380 132244225 167789000 201011222 211590760 264488450 335578000 402022444 423181520 502528055 528976900 661221125 804044888 1005056110 1057953800 1322442250 1608089776 2010112220 2115907600 2512640275 2644884500 4020224440 5025280550 5289769000 8040448880 10050561100 10579538000 12563201375 20101122200 25126402750 40202244400 50252805500 100505611000 201011222000