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10211213222000 = 245371601455573
BaseRepresentation
bin1001010010010111101110…
…1111001010000001110000
31100011011221000011122011022
42110211323233022001300
52314300031041101000
633414544441235012
72102510245200530
oct224457357120160
940134830148138
1010211213222000
11328760772693a
12118b002792a68
13590bb46085ab
142743225454c0
1512a93ca23585
hex9497bbca070

10211213222000 has 160 divisors (see below), whose sum is σ = 28235645553024. Its totient is φ = 3498792960000.

The previous prime is 10211213221991. The next prime is 10211213222029. The reversal of 10211213222000 is 22231211201.

It is a self number, because there is not a number n which added to its sum of digits gives 10211213222000.

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, 22186214 + ... + 22641786.

Almost surely, 210211213222000 is an apocalyptic number.

10211213222000 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 10211213222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14117822776512).

10211213222000 is an abundant number, since it is smaller than the sum of its proper divisors (18024432331024).

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

10211213222000 is a wasteful number, since it uses less digits than its factorization.

10211213222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457204 (or 457188 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 10211213222000 its reverse (22231211201), we get a palindrome (10233444433201).

The spelling of 10211213222000 in words is "ten trillion, two hundred eleven billion, two hundred thirteen million, two hundred twenty-two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 200 250 280 350 400 500 560 700 875 1000 1400 1601 1750 2000 2800 3202 3500 6404 7000 8005 11207 12808 14000 16010 22414 25616 32020 40025 44828 56035 64040 80050 89656 112070 128080 160100 179312 200125 224140 280175 320200 400250 448280 455573 560350 640400 800500 896560 911146 1120700 1400875 1601000 1822292 2241400 2277865 2801750 3189011 3202000 3644584 4482800 4555730 5603500 6378022 7289168 9111460 11207000 11389325 12756044 15945055 18222920 22414000 22778650 25512088 31890110 36445840 45557300 51024176 56946625 63780220 79725275 91114600 113893250 127560440 159450550 182229200 227786500 255120880 318901100 398626375 455573000 637802200 729372373 797252750 911146000 1275604400 1458744746 1594505500 2917489492 3189011000 3646861865 5105606611 5834978984 6378022000 7293723730 10211213222 11669957968 14587447460 18234309325 20422426444 25528033055 29174894920 36468618650 40844852888 51056066110 58349789840 72937237300 81689705776 91171546625 102112132220 127640165275 145874474600 182343093250 204224264440 255280330550 291748949200 364686186500 408448528880 510560661100 638200826375 729372373000 1021121322200 1276401652750 1458744746000 2042242644400 2552803305500 5105606611000 10211213222000