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4102001220 = 22353110720611
BaseRepresentation
bin1111010001111111…
…1001001001000100
3101120212122020211010
43310133321021010
531400103014340
61515012042220
7203436302142
oct36437711104
911525566733
104102001220
111815522259
12965903370
13504ab6075
142acb06592
151901c2b80
hexf47f9244

4102001220 has 96 divisors (see below), whose sum is σ = 11967492096. Its totient is φ = 1048636800.

The previous prime is 4102001207. The next prime is 4102001227. The reversal of 4102001220 is 221002014.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 4102001196 and 4102001205.

It is not an unprimeable number, because it can be changed into a prime (4102001227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 188715 + ... + 209325.

It is an arithmetic number, because the mean of its divisors is an integer number (124661376).

Almost surely, 24102001220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4102001220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5983746048).

4102001220 is an abundant number, since it is smaller than the sum of its proper divisors (7865490876).

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

4102001220 is a wasteful number, since it uses less digits than its factorization.

4102001220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20761 (or 20759 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 4102001220 is about 64046.8673706997. The cubic root of 4102001220 is about 1600.7810275396.

Adding to 4102001220 its reverse (221002014), we get a palindrome (4323003234).

The spelling of 4102001220 in words is "four billion, one hundred two million, one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 107 124 155 186 214 310 321 372 428 465 535 620 642 930 1070 1284 1605 1860 2140 3210 3317 6420 6634 9951 13268 16585 19902 20611 33170 39804 41222 49755 61833 66340 82444 99510 103055 123666 199020 206110 247332 309165 412220 618330 638941 1236660 1277882 1916823 2205377 2555764 3194705 3833646 4410754 6389410 6616131 7667292 8821508 9584115 11026885 12778820 13232262 19168230 22053770 26464524 33080655 38336460 44107540 66161310 68366687 132322620 136733374 205100061 273466748 341833435 410200122 683666870 820400244 1025500305 1367333740 2051000610 4102001220