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1010220002010 = 2335191077432477
BaseRepresentation
bin11101011001101011100…
…11011110101011011010
310120120112222011022122000
432230311303132223122
5113022412310031020
62052031052341430
7132662123223162
oct16546563365332
93516488138560
101010220002010
1135a48294474a
12143954774876
13743567245cb
1436c758b75a2
151b428ad0090
hexeb35cdeada

1010220002010 has 256 divisors, whose sum is σ = 2867216486400. Its totient is φ = 252386088192.

The previous prime is 1010220002003. The next prime is 1010220002027. The reversal of 1010220002010 is 102000220101.

It is a super-2 number, since 2×10102200020102 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1010220001983 and 1010220002001.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 407838892 + ... + 407841368.

It is an arithmetic number, because the mean of its divisors is an integer number (11200064400).

Almost surely, 21010220002010 is an apocalyptic number.

1010220002010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1010220002010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1433608243200).

1010220002010 is an abundant number, since it is smaller than the sum of its proper divisors (1856996484390).

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

1010220002010 is a wasteful number, since it uses less digits than its factorization.

1010220002010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3362 (or 3356 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1010220002010 its reverse (102000220101), we get a palindrome (1112220222111).

The spelling of 1010220002010 in words is "one trillion, ten billion, two hundred twenty million, two thousand, ten".