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10330153220 = 22529106916661
BaseRepresentation
bin10011001111011100…
…11010000100000100
3222122221000011012102
421213232122010010
5132124004400340
64425015011232
7513663565532
oct114756320404
928587004172
1010330153220
114421114012
122003669b18
13c88214bca
146ddd45152
15406d76215
hex267b9a104

10330153220 has 48 divisors (see below), whose sum is σ = 22463708400. Its totient is φ = 3985605120.

The previous prime is 10330153217. The next prime is 10330153283. The reversal of 10330153220 is 2235103301.

It can be written as a sum of positive squares in 8 ways, for example, as 66031876 + 10264121344 = 8126^2 + 101312^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10330153192 and 10330153201.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 611690 + ... + 628350.

It is an arithmetic number, because the mean of its divisors is an integer number (467993925).

Almost surely, 210330153220 is an apocalyptic number.

10330153220 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 10330153220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11231854200).

10330153220 is an abundant number, since it is smaller than the sum of its proper divisors (12133555180).

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

10330153220 is a wasteful number, since it uses less digits than its factorization.

10330153220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17768 (or 17766 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

Adding to 10330153220 its reverse (2235103301), we get a palindrome (12565256521).

The spelling of 10330153220 in words is "ten billion, three hundred thirty million, one hundred fifty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 1069 2138 4276 5345 10690 16661 21380 31001 33322 62002 66644 83305 124004 155005 166610 310010 333220 483169 620020 966338 1932676 2415845 4831690 9663380 17810609 35621218 71242436 89053045 178106090 356212180 516507661 1033015322 2066030644 2582538305 5165076610 10330153220