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1002010220 = 225197137139
BaseRepresentation
bin111011101110010…
…111011001101100
32120211110101121122
4323232113121230
54023003311340
6243232320112
733554642411
oct7356273154
92524411548
101002010220
11474677122
1223b6a3038
1312c792173
1497112108
155ce7bdb5
hex3bb9766c

1002010220 has 48 divisors (see below), whose sum is σ = 2246227200. Its totient is φ = 374351040.

The previous prime is 1002010199. The next prime is 1002010231. The reversal of 1002010220 is 220102001.

It is a junction number, because it is equal to n+sod(n) for n = 1002010198 and 1002010207.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8411 + ... + 45549.

It is an arithmetic number, because the mean of its divisors is an integer number (46796400).

Almost surely, 21002010220 is an apocalyptic number.

1002010220 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 1002010220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1123113600).

1002010220 is an abundant number, since it is smaller than the sum of its proper divisors (1244216980).

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

1002010220 is a wasteful number, since it uses less digits than its factorization.

1002010220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37238 (or 37236 counting only the distinct ones).

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

The square root of 1002010220 is about 31654.5450133152. The cubic root of 1002010220 is about 1000.6696248358.

Adding to 1002010220 its reverse (220102001), we get a palindrome (1222112221).

The spelling of 1002010220 in words is "one billion, two million, ten thousand, two hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 71 76 95 142 190 284 355 380 710 1349 1420 2698 5396 6745 13490 26980 37139 74278 148556 185695 371390 705641 742780 1411282 2636869 2822564 3528205 5273738 7056410 10547476 13184345 14112820 26368690 50100511 52737380 100201022 200402044 250502555 501005110 1002010220