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10012010201320 = 23529151277206351
BaseRepresentation
bin1001000110110001101001…
…0011111100000011101000
31022110010202012112200202111
42101230122103330003220
52303014044102420240
633143242021212104
72052225642356431
oct221543223740350
938403665480674
1010012010201320
113210084823036
121158489b61034
1357818945241a
14268826244488
1512567e52b1ea
hex91b1a4fc0e8

10012010201320 has 128 divisors (see below), whose sum is σ = 23542947302400. Its totient is φ = 3827214720000.

The previous prime is 10012010201317. The next prime is 10012010201371. The reversal of 10012010201320 is 2310201021001.

It is a self number, because there is not a number n which added to its sum of digits gives 10012010201320.

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, 48416145 + ... + 48622495.

It is an arithmetic number, because the mean of its divisors is an integer number (183929275800).

Almost surely, 210012010201320 is an apocalyptic number.

10012010201320 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 10012010201320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11771473651200).

10012010201320 is an abundant number, since it is smaller than the sum of its proper divisors (13530937101080).

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

10012010201320 is a wasteful number, since it uses less digits than its factorization.

10012010201320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206819 (or 206815 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 10012010201320 its reverse (2310201021001), we get a palindrome (12322211222321).

The spelling of 10012010201320 in words is "ten trillion, twelve billion, ten million, two hundred one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 151 232 277 290 302 554 580 604 755 1108 1160 1208 1385 1510 2216 2770 3020 4379 5540 6040 8033 8758 11080 16066 17516 21895 32132 35032 40165 41827 43790 64264 80330 83654 87580 160660 167308 175160 206351 209135 321320 334616 412702 418270 825404 836540 1031755 1212983 1650808 1673080 2063510 2425966 4127020 4851932 5984179 6064915 8254040 9703864 11968358 12129830 23936716 24259660 29920895 31159001 47873432 48519320 57159227 59841790 62318002 114318454 119683580 124636004 155795005 228636908 239367160 249272008 285796135 311590010 457273816 571592270 623180020 903611029 1143184540 1246360040 1657617583 1807222058 2286369080 3315235166 3614444116 4518055145 6630470332 7228888232 8288087915 8631043277 9036110290 13260940664 16576175830 17262086554 18072220580 33152351660 34524173108 36144441160 43155216385 66304703320 69048346216 86310432770 172620865540 250300255033 345241731080 500600510066 1001201020132 1251501275165 2002402040264 2503002550330 5006005100660 10012010201320