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10003002220 = 2252323393329
BaseRepresentation
bin10010101000011100…
…11011001101101100
3221211010102011101201
421110032123031230
5130441232032340
64332331015244
7502612054531
oct112416331554
927733364351
1010003002220
114273485692
121b31b9a524
13c354cbb33
146ac704d88
153d82a279a
hex25439b36c

10003002220 has 48 divisors (see below), whose sum is σ = 22013933760. Its totient is φ = 3810768896.

The previous prime is 10003002169. The next prime is 10003002253. The reversal of 10003002220 is 2220030001.

10003002220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 10003002197 and 10003002206.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 60516 + ... + 153844.

It is an arithmetic number, because the mean of its divisors is an integer number (458623620).

Almost surely, 210003002220 is an apocalyptic number.

10003002220 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 10003002220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11006966880).

10003002220 is an abundant number, since it is smaller than the sum of its proper divisors (12010931540).

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

10003002220 is a wasteful number, since it uses less digits than its factorization.

10003002220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93594 (or 93592 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

Adding to 10003002220 its reverse (2220030001), we get a palindrome (12223032221).

The spelling of 10003002220 in words is "ten billion, three million, two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 233 460 466 932 1165 2330 4660 5359 10718 21436 26795 53590 93329 107180 186658 373316 466645 933290 1866580 2146567 4293134 8586268 10732835 21465670 21745657 42931340 43491314 86982628 108728285 217456570 434913140 500150111 1000300222 2000600444 2500750555 5001501110 10003002220