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10012011001220 = 2252397787285113
BaseRepresentation
bin1001000110110001101001…
…0110111111010110000100
31022110010202021001100000102
42101230122112333112010
52303014044304014340
633143242050303232
72052225652230464
oct221543226772604
938403667040012
1010012011001220
11321008521a008
12115848a287b18
13578189672537
142688263b1ba4
1512567e638215
hex91b1a5bf584

10012011001220 has 96 divisors (see below), whose sum is σ = 22193784684288. Its totient is φ = 3786360348672.

The previous prime is 10012011001219. The next prime is 10012011001231. The reversal of 10012011001220 is 2210011021001.

10012011001220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 34973384 + ... + 35258496.

It is an arithmetic number, because the mean of its divisors is an integer number (231185257128).

Almost surely, 210012011001220 is an apocalyptic number.

10012011001220 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 10012011001220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11096892342144).

10012011001220 is an abundant number, since it is smaller than the sum of its proper divisors (12181773683068).

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

10012011001220 is a wasteful number, since it uses less digits than its factorization.

10012011001220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286029 (or 286027 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10012011001220 its reverse (2210011021001), we get a palindrome (12222022022221).

The spelling of 10012011001220 in words is "ten trillion, twelve billion, eleven million, one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 92 97 115 194 230 388 460 485 787 970 1574 1940 2231 3148 3935 4462 7870 8924 11155 15740 18101 22310 36202 44620 72404 76339 90505 152678 181010 285113 305356 362020 381695 570226 763390 1140452 1425565 1526780 1755797 2851130 3511594 5702260 6557599 7023188 8778985 13115198 17557970 26230396 27655961 32787995 35115940 55311922 65575990 110623844 131151980 138279805 224383931 276559610 448767862 553119220 636087103 897535724 1121919655 1272174206 2243839310 2544348412 3180435515 4487678620 5160830413 6360871030 10321660826 12721742060 20643321652 21765241307 25804152065 43530482614 51608304130 87060965228 103216608260 108826206535 217652413070 435304826140 500600550061 1001201100122 2002402200244 2503002750305 5006005500610 10012011001220